We compute the tunneling density of states of doped multiwall nanotubes inc
luding disorder and electron-electron interactions. A nonconventional Coulo
mb blockade reflecting nonperturbative Altshuler-Aronov-Lee power-law zero-
bias anomalies is found, in accordance with recent experimental results. Th
e presence of a boundary implies a universal doubling of the boundary expon
ent in the diffusive limit.