313407704313 has 48 divisors (see below), whose sum is σ = 496777881600. Its totient is φ = 188821432800.

The previous prime is 313407704299. The next prime is 313407704333.

313407704313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313407704313 - 2⁶ = 313407704249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313407704333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24245470 + ... + 24258392.

It is an arithmetic number, because the mean of its divisors is an integer number (10349539200).

Almost surely, 2^313407704313 is an apocalyptic number.

313407704313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313407704313 is a deficient number, since it is larger than the sum of its proper divisors (183370177287).

313407704313 is a wasteful number, since it uses less digits than its factorization.

313407704313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14370 (or 14367 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 313407704313 in words is "three hundred thirteen billion, four hundred seven million, seven hundred four thousand, three hundred thirteen".