Dmaj13 is D, F#, A, C#, E and B. It has the same pitch name as a 6th, , above a major 7th and 9th.
Compared with , Dmaj13 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 DM13, DΔ13 or D major 13.

How you get to it. The turn that lands on Dmaj13 is to — the ii and the V of D — and shares its third and seventh with , so the hand barely moves between them.
Hear it land:→→
In which keys. Every note of Dmaj13 belongs to D major (the I, the tonic), F# minor (the ♭VI), A major (the IV, the subdominant) and B minor (the ♭III).
Contains Dmaj13 and adds eleventh.
Contains Dmaj13 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.