10013102631 has 80 divisors (see below), whose sum is σ = 17440727040. Its totient is φ = 5606884800.

The previous prime is 10013102591. The next prime is 10013102633. The reversal of 10013102631 is 13620131001.

10013102631 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 31 + 0 + 2 + 631 = 666.

10013102631 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10013102631 - 2¹³ = 10013094439 is a prime.

It is a super-2 number, since 2×10013102631² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013102633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8698906 + ... + 8700056.

It is an arithmetic number, because the mean of its divisors is an integer number (218009088).

Almost surely, 2^10013102631 is an apocalyptic number.

10013102631 is a deficient number, since it is larger than the sum of its proper divisors (7427624409).

10013102631 is a wasteful number, since it uses less digits than its factorization.

10013102631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10013102631 its reverse (13620131001), we get a palindrome (23633233632).

The spelling of 10013102631 in words is "ten billion, thirteen million, one hundred two thousand, six hundred thirty-one".