What is true of it
E13 is E, G♯, B, D, F♯ and C♯ — 1, 3, 5, b7, 9 and 13 counted from E.
On an instrument that cannot reach all 6, the 5, 9 and 1 go first, in that order.
No fingering of E13 fits a hand on the ukulele: inside four frets, with the strings that sound next to each other and the root underneath, there is nothing to hold.
Where its notes are on the neck
The brass dots are E, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
E13/G♯
1204
E13/B
4244
E13/D
x244
An inversion is the same chord with a different note lowest. The name changes to a slash name because the bass is what a listener hears as the foundation.