10102313131 has 16 divisors (see below), whose sum is σ = 10356724224. Its totient is φ = 9851459904.

The previous prime is 10102313033. The next prime is 10102313141. The reversal of 10102313131 is 13131320101.

It is a cyclic number.

It is not a de Polignac number, because 10102313131 - 2⁷ = 10102313003 is a prime.

It is a super-2 number, since 2×10102313131² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102313141) 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, 2940991 + ... + 2944423.

It is an arithmetic number, because the mean of its divisors is an integer number (647295264).

Almost surely, 2^10102313131 is an apocalyptic number.

10102313131 is a deficient number, since it is larger than the sum of its proper divisors (254411093).

10102313131 is a wasteful number, since it uses less digits than its factorization.

10102313131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3930.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10102313131 its reverse (13131320101), we get a palindrome (23233633232).

The spelling of 10102313131 in words is "ten billion, one hundred two million, three hundred thirteen thousand, one hundred thirty-one".