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.
"You must stab him in the heart with the Bone Saber of Zumacalis... well, you could stab him in the head or the lungs, too... and the saber, it probably doesn't have to be bone, just anything sharp lying around the house... you could poke him with a pillow and kill him."
- Aqua Teen Hunger Force, The Universal Re-Monster