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We compared the properties of 56 elliptical galaxies selected from threeclusters at $1.2<z<1.4$ with those of field galaxies in the GOODS-S (~30),COSMOS (~180) and CANDELS (~220) fields. We studied the relationships amongeffective radius, surface brightness, stellar mass, stellar mass density$\Sigma_{Re}$ and central mass density $\Sigma_{1kpc}$ within 1 kpc radius. Wefind that cluster ellipticals do not differ from field ellipticals: they sharethe same structural parameters at fixed mass and the same scaling relations. Onthe other hand, the population of field ellipticals at $z\sim1.3$ shows asignificant lack of massive ($M_*> 2\times 10^{11}$ M$_\odot$) and large (R$_e> 4-5$ kpc) ellipticals with respect to the cluster. Nonetheless, at$M*<2\times 10^{11}$ M$_\odot$, the two populations are similar. The size-massrelation of ellipticals at z~1.3 defines two different regimes, above and belowa transition mass $m_t\sim 2-3\times10^{10}$ M$_\odot$: at lower masses therelation is nearly flat (R$_e\propto M_*^{-0.1\pm 0.2}$), the mean radius isconstant at ~1 kpc and $\Sigma_{Re}\sim \Sigma_{1kpc}$ while, at larger masses,the relation is R$_e\propto M*^{0.64\pm0.09}$. The transition mass marks themass at which galaxies reach the maximum $\Sigma_{Re}$. Also the$\Sigma_{1kpc}$-mass relation follows two different regimes,$\Sigma_{1kpc}\propto M*^{0.64\ >m_t}_{1.07\ <m_t}$, defining a transition massdensity $\Sigma_{1kpc}\sim 2-3\times10^3$ M$_\odot$ pc$^{-2}$. The mass density$\Sigma_{Re}$ does not correlate with mass, dense/compact galaxies can beassembled over a wide mass regime, independently of the environment. Thecentral mass density, $\Sigma_{1kpc}$, besides to be correlated with the mass,is correlated to the age of the stellar population: the higher the centralstellar mass density, the higher the mass, the older the age of the stellarpopulation. [Abridged]

Cluster and field elliptical galaxies at z~1.3. The marginal role of the environment and the relevance of the galaxy central regions