Watch the High Register online guitar lesson by Brad Carlton from Chord Studies: Evolving Progressions Vol. 2
This is a ii - V progression in the key of C. The first chord may look like an F chord, but with a D bass under it you get the Dm7. All you have to do to get the G13 chord is to drop the first two voicings. This progression is an example of where the bass notes aren't played in order to make room for what the bass player would be doing in the low register of a typical ii - V.