SMS "S13" was a V1-class torpedo boat of the Imperial German Navy. The ship was built by Schichau-Werke, at their Elbing shipyard, completing in 1912. She served in the First World War with the German High Seas Fleet, taking part in the Battle of the Heligoland Bight in 1914. She was sunk by an accidental explosion on 6 November 1914.