11 in F major, K. 413 (K. 387a in the sixth edition of the Köchel catalogue), was the second of the group of three early concertos he wrote when in Vienna, in the autumn of 1782 (according to the latest edition of the Köchel catalogue, K. 414 was written first).
It was the first full concerto he wrote for the subscription concerts he gave in the city.
The winds and brass do not play an important role throughout the concerto, and Mozart himself advertised an "a quattro" version, which is for string quartet and keyboard only, presumably for domestic use.
As per 18th century performance practice a string orchestra could also have provided as a suitable option for the "quattro" accompaniment.
The third movement, on the other hand, is unusual both in its minuet form, and in its variation of the normal rondo structure.