10100013013131 has 32 divisors (see below), whose sum is σ = 13683769344000. Its totient is φ = 6625410194208.

The previous prime is 10100013013127. The next prime is 10100013013141. The reversal of 10100013013131 is 13131031000101.

It is not a de Polignac number, because 10100013013131 - 2² = 10100013013127 is a prime.

It is a super-2 number, since 2×10100013013131² (a number of 27 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 10100013013131.

It is not an unprimeable number, because it can be changed into a prime (10100013013141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114236500 + ... + 114324878.

It is an arithmetic number, because the mean of its divisors is an integer number (427617792000).

Almost surely, 2^{10100013013131} is an apocalyptic number.

10100013013131 is a deficient number, since it is larger than the sum of its proper divisors (3583756330869).

10100013013131 is a wasteful number, since it uses less digits than its factorization.

10100013013131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90103.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 10100013013131 its reverse (13131031000101), we get a palindrome (23231044013232).

The spelling of 10100013013131 in words is "ten trillion, one hundred billion, thirteen million, thirteen thousand, one hundred thirty-one".