The standard grips this chord is usually shown with.
B13 is B, D#, F#, A, C# and G#, a dominant thirteenth. The shape this page opens on is written x21244, lowest string first.

Also written Bdom13 or B dominant 13. The same chord either way; which spelling you meet depends on who wrote the chart.
There are 7 common shapes for B13 on the guitar, and 47 derived voicings in 4 families.
In which keys. Every note of B13 belongs to C# minor (the ♭VII) and E major (the V).
The common shapes, written lowest string first: x21244, x21224, 222244, 746445, 766675, 777899, 797897.
Shell. Root, third and seventh: the guide tones fix the quality, so the fifth is dropped. That is what leaves a string free, so pick a tension to put on top. B13 has x2x244, 7x789x.
Drop 2. A close-position chord with the second voice from the top lowered an octave. Sits on four adjacent strings. B13 has x0110x, xx6445, 5664xx, xx7897, x-12-13-13-12-x, 4212xx, xx1204, x2624x.
Drop 3. The third voice from the top lowered an octave. The dropped voice becomes the bass, which is why a string is skipped. B13 has 4x120x, x2x244, 5x644x, x-11-x-8-10-7, 7x789x, 11-x-9-13-10-x, x-12-x-13-12-11, x6x495.
Rootless. The root left to the bass player. Frees a finger for a tension. B13 has x0112x, xx4244, xx6645, xx7899, x9789x, x-12-13-13-14-x, xx1224, x0x142.
Tensions. A shell of B13, root, third and seventh, leaves a string free, and the tones that belong over it are the #11 (E#).
The common shapes and the derived voicings come from different places, and both are explained in where the chords and the theory come from.
Shows each chord the way this style would voice it, and marks which of its alternatives belong to the idiom.