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PKS 1413+135, a compact symmetric object (CSO) with a two-side pc-scalestructure in its miniature radio morphology, is spatially associated with 4FGLJ1416.1+1320 and recently detected with MAGIC telescopes. We comprehensivelyanalyze its X-ray and GeV gamma-ray observation data for revealing its highenergy radiation physics. It is found that the source is in a low-flux stagebefore MJD 58500 and experiences violent outbursts after MJD 58500 in the GeVband. The flux at 10 GeV varies ~3 orders of magnitude, and the GeV-fluxvariation is accompanied by the clear spectral variation, which ischaracterized as a soft log-parabola spectrum in the low-flux state and a hardpower-law spectrum in the bright flares. The variability amplitude of X-rays islower than that of gamma-rays, and no correlation of variability betweengamma-rays and X-rays is observed. Fitting the broadband spectral energydistribution during a GeV outburst with a multi-zone leptonic model, we showthat the GeV gamma-rays are attributed to the external Compton process whilethe X-rays are hybrid of several components. The predicted TeV gamma-ray fluxduring the GeV outburst is consistent with the detection of MAGIC telescopes.These results, together with its CSO radio morphology, imply that PKS 1413+135has the episodic nuclear jet activities. The weak gamma-ray emission before MJD58500 may be from its sub-pc-/pc-scale jet component powered by previousactivities, and the violent outbursts with short-timescale variability afterMJD 58500 could be attributed to the recently restarted jet activity.

X-ray and GeV-gamma-ray emission property of TeV Compact Symmetric Object PKS 1413+135 and Implication for Episodic Jet Activity