The XIII Army Corps / XIII AK was a corps of the Imperial German Army. It was, effectively, also the army of the Kingdom of Württemberg, which had been integrated in 1871 into the Prussian Army command structure, as had the armies of most German states. The corps was originally established as the Württemberg Corps Command (Korpskommando) in 1817. It became the XIII Army Corps when it was integrated into the Prussian numbering system on December 18, 1871, shortly after the Franco-Prussian War.

The Kingdom of Württemberg was a German state that existed from 1805 to 1918, located within the area that is now Baden-Württemberg. The kingdom was a continuation of the Duchy of Württemberg, which existed from 1495 to 1805. Prior to 1495, Württemberg was a county in the former Duchy of Swabia, which had dissolved after the death of Duke Conradin in 1268.