[en] Capabilities of modern radiation detectors for investigation into electron stability and possible violation of Pauli principle in atoms are discussed. For experimental searches of electron instability the following low-background devices are used: scintillation NaI-detectors, semiconducting detectors of enriched germanium, emission chamber, multisection proportional counter and low-temperature detectors. It is ascertained that using modern low-background devices applying the earlier enumerated detectors, it is possible to achieve sensitivity of the order of 10²⁴-10²⁵ years for the electron lifetime relatively to its decay and Pauli principle violation in atoms. Experiments with sensitivity of ∼ 10²⁶-10²⁷ can be realized in massive low-temperature detectors, developed for neutrino physics. 28 refs; 1 fig