diff --git a/src/tilesource.js b/src/tilesource.js
index 271fca7d..f826ab48 100644
--- a/src/tilesource.js
+++ b/src/tilesource.js
@@ -356,6 +356,15 @@ $.TileSource.prototype = {
         var x = Math.floor(pixelX / this.getTileWidth(level));
         var y = Math.floor(pixelY / this.getTileHeight(level));
 
+        // When point.x == 1 or point.y == 1 / this.aspectRatio we want to
+        // return the last tile of the row/column
+        if (point.x >= 1) {
+            x = this.getNumTiles(level).x - 1;
+        }
+        if (point.y >= 1 / this.aspectRatio) {
+            y = this.getNumTiles(level).y - 1;
+        }
+
         return new $.Point(x, y);
     },
 
diff --git a/test/modules/tilesource.js b/test/modules/tilesource.js
index 71fb053d..21a9f30c 100644
--- a/test/modules/tilesource.js
+++ b/test/modules/tilesource.js
@@ -85,6 +85,17 @@
             assertTileAtPoint(level, new OpenSeadragon.Point(0.5, 0.5), new OpenSeadragon.Point(0, 0));
             assertTileAtPoint(level, new OpenSeadragon.Point(1, 10 / 15), new OpenSeadragon.Point(0, 0));
         }
+
+        // Test for issue #1113
+        tileSource = new OpenSeadragon.TileSource({
+            width: 1006,
+            height: 1009,
+            tileWidth: 1006,
+            tileHeight: 1009,
+            tileOverlap: 0,
+            maxLevel: 0,
+        });
+        assertTileAtPoint(0, new OpenSeadragon.Point(1, 1009 / 1006), new OpenSeadragon.Point(0, 0));
     });
 
 }());