313123343321313 has 48 divisors (see below), whose sum is σ = 532005954794496. Its totient is φ = 173774569177440.

The previous prime is 313123343321281. The next prime is 313123343321381.

It is a happy number.

313123343321313 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 2 + 3 + 3 + 4 + 332 + 1 + 313 = 666.

313123343321313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313123343321313 - 2⁵ = 313123343321281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313123343321213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 522110631 + ... + 522710012.

It is an arithmetic number, because the mean of its divisors is an integer number (11083457391552).

Almost surely, 2^{313123343321313} is an apocalyptic number.

It is an amenable number.

313123343321313 is a deficient number, since it is larger than the sum of its proper divisors (218882611473183).

313123343321313 is a wasteful number, since it uses less digits than its factorization.

313123343321313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044820794 (or 1044820791 counting only the distinct ones).

The product of its digits is 104976, while the sum is 36.

The spelling of 313123343321313 in words is "three hundred thirteen trillion, one hundred twenty-three billion, three hundred forty-three million, three hundred twenty-one thousand, three hundred thirteen".