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We report on multi-photon statistics of correlated twin beams produced in aperiodic poled micro-ring resonator on thin-film lithium niobate. Owing to highcavity confinement and near perfect quasi-phase matching, the photons pairs areproduced efficiently in single modes at rates reaching 27 MHz per $\mu$W pumppower. By using a pump laser whose pulse width impedance matches with thecavity, those photons are further created in single longitudinal modes withpurity reaching 99\%, without relying on later-on filtering. With adual-channel photon-number resolving detection system, we obtain directly thejoint detection probabilities of multi-photon states up to three photons, withhigh coincidence to accidental contrast for each. Used as a single photonsource, it gives heralded $g_H^{(2)}(0)$ around 0.04 at a single photon rate of650 kHz on chip. The findings of our research highlight the potential of thisnanophotonic platform as a promising platform for generating non-classical,few-photon states with ideal indistinguishability, for fundamental quantumoptics studies and information applications.

A Highly Efficient and Pure Few-Photon Source on Chip