Abmaj13 is Ab, C, Eb, G, Bb and F. It has the same pitch name as a 6th, , above a major 7th and 9th.
Compared with , Abmaj13 keeps the 6th and 9th, then adds the major 7th. That B is the difference a 6/9 chord does not have.
On guitar, root and 5th can be left out. Keep the 3rd, 7th, 9th, and 13th when the voicing needs its full identity.
Also written AbM13, AbΔ13 or Ab major 13.

Root, 3rd and 7th. The 3rd and 7th set the quality; the 5th adds nothing, so it goes. That frees a string for a tension.
How you get to it. The turn that lands on Abmaj13 is to — the ii and the V of Ab — and shares its third and seventh with , so the hand barely moves between them.
Hear it land:→→
In which keys. Every note of Abmaj13 belongs to C minor (the ♭VI), Eb major (the IV, the subdominant), F minor (the ♭III) and Ab major (the I, the tonic).
Contains Abmaj13 and adds eleventh.
Contains Abmaj13 and adds sharp eleventh.
The common shapes and the derived voicings come from different places, and both are explained in how this site is built.
Shows each chord the way this style would voice it, and marks which of its alternatives belong to the idiom.