102131321313131 has 16 divisors (see below), whose sum is σ = 112785754445280. Its totient is φ = 91708943815680.

The previous prime is 102131321313113. The next prime is 102131321313157. The reversal of 102131321313131 is 131313123131201.

It is a cyclic number.

It is not a de Polignac number, because 102131321313131 - 2⁶ = 102131321313067 is a prime.

It is a super-2 number, since 2×102131321313131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102131321313131.

It is not an unprimeable number, because it can be changed into a prime (102131321303131) 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, 93482636 + ... + 94568841.

It is an arithmetic number, because the mean of its divisors is an integer number (7049109652830).

Almost surely, 2^{102131321313131} is an apocalyptic number.

102131321313131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102131321313131 is a deficient number, since it is larger than the sum of its proper divisors (10654433132149).

102131321313131 is a wasteful number, since it uses less digits than its factorization.

102131321313131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188052094.

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

Adding to 102131321313131 its reverse (131313123131201), we get a palindrome (233444444444332).

The spelling of 102131321313131 in words is "one hundred two trillion, one hundred thirty-one billion, three hundred twenty-one million, three hundred thirteen thousand, one hundred thirty-one".