3013131013313 has 16 divisors (see below), whose sum is σ = 3259490098176. Its totient is φ = 2777182763520.

The previous prime is 3013131013303. The next prime is 3013131013351. The reversal of 3013131013313 is 3133101313103.

It is a cyclic number.

It is not a de Polignac number, because 3013131013313 - 2²⁶ = 3013063904449 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3013131013303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8902520 + ... + 9234777.

It is an arithmetic number, because the mean of its divisors is an integer number (203718131136).

Almost surely, 2^{3013131013313} is an apocalyptic number.

It is an amenable number.

3013131013313 is a deficient number, since it is larger than the sum of its proper divisors (246359084863).

3013131013313 is a wasteful number, since it uses less digits than its factorization.

3013131013313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18137584.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 3013131013313 its reverse (3133101313103), we get a palindrome (6146232326416).

The spelling of 3013131013313 in words is "three trillion, thirteen billion, one hundred thirty-one million, thirteen thousand, three hundred thirteen".