10102312131 has 16 divisors (see below), whose sum is σ = 13851275424. Its totient is φ = 6544571904.

The previous prime is 10102312123. The next prime is 10102312163. The reversal of 10102312131 is 13121320101.

It is a happy number.

It is not a de Polignac number, because 10102312131 - 2³ = 10102312123 is a prime.

It is a super-3 number, since 3×10102312131³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10102312131.

It is not an unprimeable number, because it can be changed into a prime (10102312631) 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, 31371 + ... + 145563.

It is an arithmetic number, because the mean of its divisors is an integer number (865704714).

Almost surely, 2^10102312131 is an apocalyptic number.

10102312131 is a deficient number, since it is larger than the sum of its proper divisors (3748963293).

10102312131 is a wasteful number, since it uses less digits than its factorization.

10102312131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115030.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10102312131 its reverse (13121320101), we get a palindrome (23223632232).

The spelling of 10102312131 in words is "ten billion, one hundred two million, three hundred twelve thousand, one hundred thirty-one".