13120013313 has 160 divisors (see below), whose sum is σ = 23541217920. Its totient is φ = 7192074240.

The previous prime is 13120013299. The next prime is 13120013317. The reversal of 13120013313 is 31331002131.

It is a happy number.

13120013313 is a `hidden beast` number, since 131 + 200 + 1 + 331 + 3 = 666.

It is not a de Polignac number, because 13120013313 - 2⁵ = 13120013281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13120013317) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 47364531 + ... + 47364807.

It is an arithmetic number, because the mean of its divisors is an integer number (147132612).

Almost surely, 2^13120013313 is an apocalyptic number.

It is an amenable number.

13120013313 is a deficient number, since it is larger than the sum of its proper divisors (10421204607).

13120013313 is a wasteful number, since it uses less digits than its factorization.

13120013313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 420 counting only the distinct ones).

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

Adding to 13120013313 its reverse (31331002131), we get a palindrome (44451015444).

The spelling of 13120013313 in words is "thirteen billion, one hundred twenty million, thirteen thousand, three hundred thirteen".