  Two dimensional topological superconductors (TS) host chiral Majorana modes
(MMs) localized at the boundaries. In this work, within quasiclassical
approximation we study the effect of disorder on the localization length of MMs
in two dimensional spin-orbit (SO) coupled superconductors. We find
nonmonotonic behavior of the Majorana localization length as a function of
disorder strength. At weak disorder, the Majorana localization length decreases
with an increasing disorder strength. Decreasing the disorder scattering time
below a critical value $\tau_c$, the Majorana localization length starts to
increase. The critical scattering time depends on the relative magnitudes of
the two ingredients behind TS: SO coupling and exchange field. For dominating
SO coupling, $\tau_c$ is small and vice versa for the dominating exchange
field.
