102131321313129 has 16 divisors (see below), whose sum is σ = 143342434159680. Its totient is φ = 64503889444800.

The previous prime is 102131321313113. The next prime is 102131321313157. The reversal of 102131321313129 is 921313123131201.

It is not a de Polignac number, because 102131321313129 - 2⁴ = 102131321313113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102131321313129.

It is not an unprimeable number, because it can be changed into a prime (102131321315129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51860779 + ... + 53794079.

It is an arithmetic number, because the mean of its divisors is an integer number (8958902134980).

Almost surely, 2^{102131321313129} is an apocalyptic number.

102131321313129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

102131321313129 is a deficient number, since it is larger than the sum of its proper divisors (41211112846551).

102131321313129 is a wasteful number, since it uses less digits than its factorization.

102131321313129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860120.

The product of its (nonzero) digits is 5832, while the sum is 33.

The spelling of 102131321313129 in words is "one hundred two trillion, one hundred thirty-one billion, three hundred twenty-one million, three hundred thirteen thousand, one hundred twenty-nine".