/usr/lib/x86_64-linux-gnu/libHYPRE_DistributedMatrixPilutSolver.so is in libhypre-dev 2.13.0-2.
This file is owned by root:root, with mode 0o777.
It is a symlink to /usr/lib/x86_64-linux-gnu/libHYPRE_DistributedMatrixPilutSolver-2.13.0.so