What is true of it
D13 is D, F♯, A, C, E and B — 1, 3, 5, b7, 9 and 13 counted from D.
On an instrument that cannot reach all 6, the 5, 9 and 1 go first, in that order.
No fingering of D13 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 D, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
D13/F♯
bb89
D13/A
2022
D13/C
x022
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.