313254452313 has 192 divisors, whose sum is σ = 549189268992. Its totient is φ = 169882583040.

The previous prime is 313254452299. The next prime is 313254452317.

313254452313 is a `hidden beast` number, since 3 + 1 + 32 + 544 + 52 + 31 + 3 = 666.

313254452313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313254452313 - 2⁵ = 313254452281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313254452317) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 622772020 + ... + 622772522.

It is an arithmetic number, because the mean of its divisors is an integer number (2860360776).

Almost surely, 2^313254452313 is an apocalyptic number.

313254452313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313254452313 is a deficient number, since it is larger than the sum of its proper divisors (235934816679).

313254452313 is a wasteful number, since it uses less digits than its factorization.

313254452313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 781 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

It can be divided in two parts, 313254 and 452313, that added together give a palindrome (765567).

The spelling of 313254452313 in words is "three hundred thirteen billion, two hundred fifty-four million, four hundred fifty-two thousand, three hundred thirteen".