101331310442129 has 2 divisors, whose sum is σ = 101331310442130. Its totient is φ = 101331310442128.

The previous prime is 101331310442071. The next prime is 101331310442143. The reversal of 101331310442129 is 921244013133101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99311728387729 + 2019582054400 = 9965527^2 + 1421120^2 .

It is a cyclic number.

It is not a de Polignac number, because 101331310442129 - 2⁸ = 101331310441873 is a prime.

It is a super-3 number, since 3×101331310442129³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (101331310445129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665655221064 + 50665655221065.

It is an arithmetic number, because the mean of its divisors is an integer number (50665655221065).

Almost surely, 2^{101331310442129} is an apocalyptic number.

It is an amenable number.

101331310442129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331310442129 is an equidigital number, since it uses as much as digits as its factorization.

101331310442129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 101331310442129 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred ten million, four hundred forty-two thousand, one hundred twenty-nine".