313130131021013 has 16 divisors (see below), whose sum is σ = 318114620167344. Its totient is φ = 308181577236480.

The previous prime is 313130131021003. The next prime is 313130131021021. The reversal of 313130131021013 is 310120131031313.

It can be written as a sum of positive squares in 8 ways, for example, as 35420137996324 + 277709993024689 = 5951482^2 + 16664633^2 .

It is a cyclic number.

It is not a de Polignac number, because 313130131021013 - 2⁸ = 313130131020757 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 313130131021013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313130131021003) 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, 717810581 + ... + 718246677.

It is an arithmetic number, because the mean of its divisors is an integer number (19882163760459).

Almost surely, 2^{313130131021013} is an apocalyptic number.

It is an amenable number.

313130131021013 is a deficient number, since it is larger than the sum of its proper divisors (4984489146331).

313130131021013 is a wasteful number, since it uses less digits than its factorization.

313130131021013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477272.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 313130131021013 its reverse (310120131031313), we get a palindrome (623250262052326).

The spelling of 313130131021013 in words is "three hundred thirteen trillion, one hundred thirty billion, one hundred thirty-one million, twenty-one thousand, thirteen".