German submarine U-1013 was a Type VIIC/41 U-boat of Nazi Germany's Kriegsmarine during World War II. She was ordered on 23 March 1942, and was laid down on 26 March 1943, at Blohm & Voss, Hamburg, as yard number 213. She was launched on 19 January 1944, and commissioned under the command of Oberleutnant zur See Gerhard Linck on 2 March 1944.