13213031013 has 64 divisors (see below), whose sum is σ = 24652615680. Its totient is φ = 6807374784.

The previous prime is 13213030967. The next prime is 13213031071. The reversal of 13213031013 is 31013031231.

It is a happy number.

13213031013 is a `hidden beast` number, since 1 + 321 + 30 + 310 + 1 + 3 = 666.

It is not a de Polignac number, because 13213031013 - 2¹⁶ = 13212965477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213031413) 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, 43120 + ... + 168182.

It is an arithmetic number, because the mean of its divisors is an integer number (385197120).

Almost surely, 2^13213031013 is an apocalyptic number.

13213031013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13213031013 is a deficient number, since it is larger than the sum of its proper divisors (11439584667).

13213031013 is a wasteful number, since it uses less digits than its factorization.

13213031013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125135 (or 125129 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13213031013 its reverse (31013031231), we get a palindrome (44226062244).

The spelling of 13213031013 in words is "thirteen billion, two hundred thirteen million, thirty-one thousand, thirteen".