  The main aim of the current work is the study of the conditions under which
(finite-time) blow-up of a non-local stochastic parabolic problem occurs.
  We first establish the existence and uniqueness of the local-in-time weak
solution for such problem. The first part of the manuscript deals with the
investigation of the conditions which guarantee the occurrence of noise-induced
blow-up. In the second part we first prove the $C^{1}$-spatial regularity of
the solution. Then, based on this regularity result, and using a strong
positivity result we derive, for first in the literature of SPDEs, a Hopf's
type boundary value point lemma. The preceding results together with Kaplan's
eigenfunction method are then employed to provide a (non-local) drift term
induced blow-up result. In the last part of the paper, we present a method
which provides an upper bound of the probability of (non-local) drift term
induced blow-up.
