In the first stage of hydrolysis, an extra bond is formed by water molecule. While chlorine and the group 15 elements (except nitrogen) can expand their octet by using vacant d-orbitals of the valence shell, F and N cannot. As a result, $\mathrm{N}{\mathrm{F}}_3$ is extremely stable.
Trihalides of P, As, Sb and Bi hydrolyse readily.
$\mathrm{N}{\mathrm{F}}_3+{\mathrm{H}}_2\mathrm{O}\left(\mathrm{l}\right)\to$ No hydrolysis
$\mathrm{N}\mathrm{C}{\mathrm{l}}_3+3{\mathrm{H}}_2\mathrm{O}\left(\mathrm{l}\right)\to \mathrm{N}{\mathrm{H}}_3+3\mathrm{H}\mathrm{O}\mathrm{C}\mathrm{l}$
$\mathrm{P}\mathrm{C}{\mathrm{l}}_3+3{\mathrm{H}}_2\mathrm{O}\left(\mathrm{l}\right)\to {\mathrm{H}}_3\mathrm{P}{\mathrm{O}}_3+3\mathrm{H}\mathrm{C}\mathrm{l}$
$2\mathrm{A}\mathrm{s}\mathrm{C}{\mathrm{l}}_3+3{\mathrm{H}}_2\mathrm{O}\to 6\mathrm{H}\mathrm{C}\mathrm{l}+\mathrm{A}{\mathrm{s}}_2{\mathrm{O}}_3$
Notes: A. $\mathrm{S}\mathrm{b}\mathrm{C}{\mathrm{l}}_3$ and $\mathrm{B}\mathrm{i}\mathrm{C}{\mathrm{l}}_3$ also hydrolyze to form basic oxochlorides.
$\mathrm{B}\mathrm{i}\mathrm{C}{\mathrm{l}}_2+{\mathrm{H}}_2\mathrm{O}\rightleftharpoons \mathrm{B}\mathrm{i}\mathrm{O}\mathrm{C}\mathrm{l}+2\mathrm{H}\mathrm{C}\mathrm{l}$
B. Hydrolysis of $\mathrm{N}\mathrm{C}{\mathrm{l}}_3$ is thought to proceed by stepwise replacement of chlorine, the lone pair on N-atom bonding to hydrogen atom of a water molecule

$\mathrm{N}\mathrm{H}\mathrm{C}{\mathrm{l}}_2+{\mathrm{H}}_2\mathrm{O}\to \mathrm{N}{\mathrm{H}}_2\mathrm{C}\mathrm{l}+\mathrm{H}\mathrm{C}\mathrm{l}\mathrm{O}$
$\mathrm{N}{\mathrm{H}}_2\mathrm{C}\mathrm{l}+{\mathrm{H}}_2\mathrm{O}\to \mathrm{N}{\mathrm{H}}_3+\mathrm{H}\mathrm{C}\mathrm{l}\mathrm{O}$