diff --git a/resources/images/images_integration_test.go b/resources/images/images_integration_test.go
index 156de6259..caba42e03 100644
--- a/resources/images/images_integration_test.go
+++ b/resources/images/images_integration_test.go
@@ -34,3 +34,19 @@ W/H rotated: {{ $rotated.Width }}/{{ $rotated.Height }}
 	b := hugolib.Test(t, files)
 	b.AssertFileContent("public/index.html", "W/H original: 80/40\n\nW/H rotated: 40/80")
 }
+
+// Issue 12733.
+func TestOrientationEq(t *testing.T) {
+	files := `
+-- hugo.toml --
+-- assets/rotate270.jpg --
+sourcefilename: ../testdata/exif/orientation6.jpg
+-- layouts/index.html --
+{{ $img := resources.Get "rotate270.jpg" }}
+{{ $orientation := $img.Exif.Tags.Orientation }}
+Orientation: {{ $orientation }}|eq 6: {{ eq $orientation 6 }}|Type: {{ printf "%T" $orientation }}|
+`
+
+	b := hugolib.Test(t, files)
+	b.AssertFileContent("public/index.html", "Orientation: 6|eq 6: true|")
+}
diff --git a/tpl/compare/compare.go b/tpl/compare/compare.go
index 907be9b15..d6a764c6a 100644
--- a/tpl/compare/compare.go
+++ b/tpl/compare/compare.go
@@ -117,7 +117,12 @@ func (n *Namespace) Eq(first any, others ...any) bool {
 		case reflect.Float32, reflect.Float64:
 			return vv.Float()
 		case reflect.Uint, reflect.Uint8, reflect.Uint16, reflect.Uint32, reflect.Uint64:
-			return vv.Uint()
+			i := vv.Uint()
+			// If it can fit in an int, convert it.
+			if i <= math.MaxInt64 {
+				return int64(i)
+			}
+			return i
 		case reflect.String:
 			return vv.String()
 		default:
@@ -237,6 +242,16 @@ func (ns *Namespace) compareGet(a any, b any) (float64, float64) {
 	return ns.compareGetWithCollator(nil, a, b)
 }
 
+func (ns *Namespace) compareTwoUints(a uint64, b uint64) (float64, float64) {
+	if a < b {
+		return 1, 0
+	} else if a == b {
+		return 0, 0
+	} else {
+		return 0, 1
+	}
+}
+
 func (ns *Namespace) compareGetWithCollator(collator *langs.Collator, a any, b any) (float64, float64) {
 	if ac, ok := a.(compare.Comparer); ok {
 		c := ac.Compare(b)
@@ -263,12 +278,22 @@ func (ns *Namespace) compareGetWithCollator(collator *langs.Collator, a any, b a
 	var left, right float64
 	var leftStr, rightStr *string
 	av := reflect.ValueOf(a)
+	bv := reflect.ValueOf(b)
 
 	switch av.Kind() {
 	case reflect.Array, reflect.Chan, reflect.Map, reflect.Slice:
 		left = float64(av.Len())
 	case reflect.Int, reflect.Int8, reflect.Int16, reflect.Int32, reflect.Int64:
+		if hreflect.IsUint(bv.Kind()) {
+			return ns.compareTwoUints(uint64(av.Int()), bv.Uint())
+		}
 		left = float64(av.Int())
+	case reflect.Uint, reflect.Uint8, reflect.Uint16, reflect.Uint32:
+		left = float64(av.Uint())
+	case reflect.Uint64:
+		if hreflect.IsUint(bv.Kind()) {
+			return ns.compareTwoUints(av.Uint(), bv.Uint())
+		}
 	case reflect.Float32, reflect.Float64:
 		left = av.Float()
 	case reflect.String:
@@ -290,13 +315,20 @@ func (ns *Namespace) compareGetWithCollator(collator *langs.Collator, a any, b a
 		}
 	}
 
-	bv := reflect.ValueOf(b)
-
 	switch bv.Kind() {
 	case reflect.Array, reflect.Chan, reflect.Map, reflect.Slice:
 		right = float64(bv.Len())
 	case reflect.Int, reflect.Int8, reflect.Int16, reflect.Int32, reflect.Int64:
+		if hreflect.IsUint(av.Kind()) {
+			return ns.compareTwoUints(av.Uint(), uint64(bv.Int()))
+		}
 		right = float64(bv.Int())
+	case reflect.Uint, reflect.Uint8, reflect.Uint16, reflect.Uint32:
+		right = float64(bv.Uint())
+	case reflect.Uint64:
+		if hreflect.IsUint(av.Kind()) {
+			return ns.compareTwoUints(av.Uint(), bv.Uint())
+		}
 	case reflect.Float32, reflect.Float64:
 		right = bv.Float()
 	case reflect.String:
diff --git a/tpl/compare/compare_test.go b/tpl/compare/compare_test.go
index 4c50f5f0f..6c3f43028 100644
--- a/tpl/compare/compare_test.go
+++ b/tpl/compare/compare_test.go
@@ -14,6 +14,7 @@
 package compare
 
 import (
+	"math"
 	"path"
 	"reflect"
 	"runtime"
@@ -199,6 +200,16 @@ func doTestCompare(t *testing.T, tp tstCompareType, funcUnderTest func(a, b any)
 		{5, 5, 0},
 		{int(5), int64(5), 0},
 		{int32(5), int(5), 0},
+		{int16(4), 4, 0},
+		{uint8(4), 4, 0},
+		{uint16(4), 4, 0},
+		{uint16(4), 4, 0},
+		{uint32(4), uint16(4), 0},
+		{uint32(4), uint16(3), 1},
+		{uint64(4), 4, 0},
+		{4, uint64(4), 0},
+		{uint64(math.MaxUint32), uint32(math.MaxUint32), 0},
+		{uint64(math.MaxUint16), int(math.MaxUint16), 0},
 		{int16(4), int(5), -1},
 		{uint(15), uint64(15), 0},
 		{-2, 1, -1},