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The X-ray emission from active galactic nuclei (AGN) is believed to come froma combination of inverse Compton scattering of photons from the accretion diskand reprocessing of the direct X-ray emission by reflection. We present hard(10-80 keV) and soft (0.5-8 keV) X-ray monitoring of a gravitationally lensedquasar RX J1131-1231 with NuSTAR, Swift, and XMM-Newton between 10 June 2016and 30 November 2020. Comparing the amplitude of quasar microlensingvariability at the hard and soft bands allows a size comparison, where largersources lead to smaller microlensing variability. During the period between 6June 2018 and 30 November 2020, where both the hard and soft light curves areavailable, the hard and soft bands varied by factors of 3.7 and 5.5,respectively, with rms variability of $0.40\pm0.05$ and $0.57\pm0.02$. Both thevariability amplitude and rms are moderately smaller for the hard X-rayemission, indicating that the hard X-ray emission is moderately larger than thesoft X-ray emission region. We found the reflection fraction from seven jointhard and soft X-ray monitoring epochs is effectively consistent with a constantwith low significance variability. After decomposing the total X-ray flux intodirect and reprocessed components, we find a smaller variability amplitude forthe reprocessed flux compared to the direct emission. The power-law cutoffenergy is constrained at 96$^{+47}_{-24}$ keV, which position the system in theallowable parameter space due to the pair production limit.

NuSTAR Hard X-ray Monitoring of Gravitationally Lensed Quasar RX J1131-1231