102113132131 has 16 divisors (see below), whose sum is σ = 107203457088. Its totient is φ = 97077657600.

The previous prime is 102113132119. The next prime is 102113132167. The reversal of 102113132131 is 131231311201.

It is a cyclic number.

It is not a de Polignac number, because 102113132131 - 2⁷ = 102113132003 is a prime.

It is a super-2 number, since 2×102113132131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102113132099 and 102113132108.

It is not an unprimeable number, because it can be changed into a prime (102113132101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8390691 + ... + 8402851.

It is an arithmetic number, because the mean of its divisors is an integer number (6700216068).

Almost surely, 2^102113132131 is an apocalyptic number.

102113132131 is a deficient number, since it is larger than the sum of its proper divisors (5090324957).

102113132131 is a wasteful number, since it uses less digits than its factorization.

102113132131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14382.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 102113132131 its reverse (131231311201), we get a palindrome (233344443332).

The spelling of 102113132131 in words is "one hundred two billion, one hundred thirteen million, one hundred thirty-two thousand, one hundred thirty-one".