102133112313131 has 16 divisors (see below), whose sum is σ = 107551796951040. Its totient is φ = 96718757784480.

The previous prime is 102133112313109. The next prime is 102133112313143. The reversal of 102133112313131 is 131313211331201.

It is a cyclic number.

It is not a de Polignac number, because 102133112313131 - 2²² = 102133108118827 is a prime.

It is a super-2 number, since 2×102133112313131² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102133112313131.

It is not an unprimeable number, because it can be changed into a prime (102133112313431) 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, 1027539446 + ... + 1027638836.

It is an arithmetic number, because the mean of its divisors is an integer number (6721987309440).

Almost surely, 2^{102133112313131} is an apocalyptic number.

102133112313131 is a deficient number, since it is larger than the sum of its proper divisors (5418684637909).

102133112313131 is a wasteful number, since it uses less digits than its factorization.

102133112313131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120626.

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 102133112313131 its reverse (131313211331201), we get a palindrome (233446323644332).

The spelling of 102133112313131 in words is "one hundred two trillion, one hundred thirty-three billion, one hundred twelve million, three hundred thirteen thousand, one hundred thirty-one".