OK, if you're without a bass player, you should nail the root. Also, the 3 and 7 are essential to the chord's quality. Finally, the 13 is important, because that's obviously a tone the composer wanted in there. The 5th, 9th, and 11th aren't too important if they're not altered. Solution to playing this chord? Play the root, 3rd, 7th, and 13th. The easiest order to play these? Root, 7th, 3rd, 13th. This leads to a great (and easy) voicing for M/m 13th chords. I'll do an example in F and in C.

F13 = 1, x, 1, 2, 3, x = (F, Eb, A, D)
Fm13 = 1, x, 1, 1, 3, x = (F, Eb, Ab, D)
C13 = 8, x, 8, 9, 10, x = (C, Bb, E, A)
Cm13 = 8, x, 8, 8, 10, x = (C, Bb, Eb, A)

Easy and sounds good, too. Hope this helps.