A possible relation of the mass of the Universe with the characteristic   sizes of elementary particles
  We show that the mass of the matter equal to the mass of the observable part of our Universe is reached at the Planck density in the volume which size is comparable with the nucleon size and is close to the pion Compton wavelength. 
N. A. Miskinova and B. N. Shvilkin
physics.gen-ph hep-ph