N-point energy correlators are powerful observables for studying strong interactions, with wide range of applications ranging from extractions of the strong coupling αs to probes of jet modification in heavy-ion collisions and determination of the top-quark mass. However, their practical use has been limited due to the complicated phase space for large N. Following a recently introduced parametrization that simplifies this structure, I will discuss projected N-point correlators in two regimes: factorization in the back-to-back limit and leading non-perturbative effects in the collinear limit. In particular, I will outline the computation of a new one-loop jet function which is the only ingredient needed for the next-to-next-to-leading-logarithmic resummation. Finally, I will also discuss the analytic structure of leading non-perturbative power corrections for arbitrary N. I will show that a new non-perturbative matrix element arises for N<1 which can be related to (in a certain approximation) the standard non-perturbative parameter that appears for N>1.