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[en] Here, we have studied the variability of the black-widow-type binary millisecond pulsar PSR J1311–3430 from optical to gamma-ray energies. We confirm evidence for orbital modulation in the weak off-pulse ≳200 MeV emission, with a peak at ϕB≈0.8, following pulsar inferior conjunction. The peak has a relatively hard spectrum, extending above ~1 GeV. XMM-Newton and Swift UV observations also show that this source's strong X-ray flaring activity is associated with optical/UV flares. With a duty cycle of ~7%–19%, this flaring is quite prominent with an apparent power-law intensity distribution. Flares are present at all orbital phases, with a slight preference for ϕB=0.5--0.7. We explore possible connections of these variabilities with the intrabinary shock and magnetic activity on the low-mass secondary.