313627727726313 has 48 divisors (see below), whose sum is σ = 565712909236608. Its totient is φ = 150390918374400.

The previous prime is 313627727726227. The next prime is 313627727726351.

313627727726313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313627727726313 - 2²⁴ = 313627710949097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313627727726363) 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, 4747155048 + ... + 4747221113.

It is an arithmetic number, because the mean of its divisors is an integer number (11785685609096).

Almost surely, 2^{313627727726313} is an apocalyptic number.

313627727726313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313627727726313 is a deficient number, since it is larger than the sum of its proper divisors (252085181510295).

313627727726313 is a wasteful number, since it uses less digits than its factorization.

313627727726313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9494376206 (or 9494376195 counting only the distinct ones).

The product of its digits is 56010528, while the sum is 60.

The spelling of 313627727726313 in words is "three hundred thirteen trillion, six hundred twenty-seven billion, seven hundred twenty-seven million, seven hundred twenty-six thousand, three hundred thirteen".