The I Army Corps / I AK was a corps level command of the Prussian and then the Imperial German Armies from the 19th Century to World War I.

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.