  We present deep V,I photometry of two $9.4' x 9.4' field in the outer regions
of the M33 galaxy. We obtain a robust detection of the luminosity of the Red
Giant Branch Tip (I{TRGB}=20.72 +- 0.08) from which we derived a new estimate
of the distance modulus of M33, (m-M)_0=24.64 +- 0.15, corresponding to a
distance D=847 +- 60 Kpc. By comparison of the color and magnitude of the
observed Red Giant Branch stars with ridge lines of template globular clusters
we obtained the photometric metallicity distribution of the considered fields
in three different metallicity scales. The derived metallicity distributions
are very similar over a range of distances from the galactic center 10' <= R <=
33', and are characterized by a well defined peak at [M/H] ~ -0.7 ([Fe/H] ~
-1.0, in the Zinn & West scale) and a weak metal-poor tail reaching [M/H] ~
-2.0. Our observations demonstrate that Red Giant Branch and Asymptotic Giant
Branch stars have a radial distribution that is much more extended than the
young MS stars associated with the star-forming disc.
