10131313131 has 24 divisors (see below), whose sum is σ = 14945186880. Its totient is φ = 6612144000.

The previous prime is 10131313111. The next prime is 10131313189. The reversal of 10131313131 is 13131313101.

It is not a de Polignac number, because 10131313131 - 2⁵ = 10131313099 is a prime.

It is a super-2 number, since 2×10131313131² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10131313111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18286 + ... + 143516.

It is an arithmetic number, because the mean of its divisors is an integer number (622716120).

Almost surely, 2^10131313131 is an apocalyptic number.

10131313131 is a deficient number, since it is larger than the sum of its proper divisors (4813873749).

10131313131 is a wasteful number, since it uses less digits than its factorization.

10131313131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125427 (or 125424 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 10131313131 its reverse (13131313101), we get a palindrome (23262626232).

The spelling of 10131313131 in words is "ten billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred thirty-one".