  ALICE, a general purpose experiment designed to investigate nucleus-nucleus
collisions at the CERN Large Hadron Collider (LHC), has also been used to
detect atmospheric muons produced by cosmic-ray interactions in the atmosphere.
  In this contribution the analysis of the multiplicity distribution of the
atmospheric muons detected by ALICE between 2010 and 2013 is presented, along
with a comparison with Monte Carlo simulations. Special emphasis is given to
the study of high-multiplicity events, i.e. those containing more than 100
reconstructed muons. Such high-multiplicity events demand primary cosmic rays
with energy above $10^{16}$ eV. The frequency of these events can be
successfully described by assuming a heavy mass composition of primary cosmic
rays in this energy range, using the most recent interaction models to describe
the development of the air shower resulting from the primary interaction.
