13013113131 has 64 divisors (see below), whose sum is σ = 21312720000. Its totient is φ = 7810338816.

The previous prime is 13013113051. The next prime is 13013113151. The reversal of 13013113131 is 13131131031.

It is not a de Polignac number, because 13013113131 - 2¹³ = 13013104939 is a prime.

It is a super-2 number, since 2×13013113131² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13013113151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1446415 + ... + 1455383.

It is an arithmetic number, because the mean of its divisors is an integer number (333011250).

Almost surely, 2^13013113131 is an apocalyptic number.

13013113131 is a deficient number, since it is larger than the sum of its proper divisors (8299606869).

13013113131 is a wasteful number, since it uses less digits than its factorization.

13013113131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9133 (or 9127 counting only the distinct ones).

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

Adding to 13013113131 its reverse (13131131031), we get a palindrome (26144244162).

The spelling of 13013113131 in words is "thirteen billion, thirteen million, one hundred thirteen thousand, one hundred thirty-one".