  This work investigates heat transport in rotating internally heated
convection, for a horizontally periodic fluid between parallel plates under
no-slip and isothermal boundary conditions. The main results are the proof of
bounds on the mean temperature, $\overline{\langle T \rangle }$, and the heat
flux out of the bottom boundary, $\mathcal{F}_B$ at infinite Prandtl numbers
where the Prandtl number is the nondimensional ratio of viscous to thermal
diffusion. The lower bounds are functions of a Rayleigh number quantifying the
ratio of internal heating to diffusion and the Ekman number, $E$, which
quantifies the ratio of viscous diffusion to rotation. We utilise two different
estimates on the vertical velocity, $w$, one pointwise in the domain (Yan 2004,
J. Math. Phys., vol. 45(7), pp. 2718-2743) and the other an integral estimate
over the domain (Constantin et al . 1999, Phys. D: Non. Phen., vol. 125, pp.
275-284), resulting in bounds valid for different regions of
buoyancy-to-rotation dominated convection. Furthermore, we demonstrate that
similar to rotating Rayleigh-B\'enard convection, for small $E$, the critical
Rayleigh number for the onset of convection asymptotically scales as
$E^{-4/3}$.This result is combined with heuristic arguments for internally
heated and rotating convection to arrive at scaling laws for $\overline{\langle
T \rangle }$ and $\mathcal{F}_B$ valid for arbitrary Prandtl numbers.
