  The use of artificial atoms as an active lasing medium opens a way to
construct novel sources of nonclassical radiation. An example is the creation
of photon-number squeezed light. Here we present a design of a laser consisting
of multiple Cooper-pair transistors coupled to a microwave resonator. Over a
broad range of experimentally realizable parameters, this laser creates
photon-number squeezed microwave radiation, characterized by a Fano factor $F
\ll 1$, at a very high resonator photon number. We investigate the impact of
gate-charge disorder in a Cooper-pair transistor and show that the system can
create squeezed strong microwave fields even in the presence of maximum
disorder.
