313464464313 has 64 divisors (see below), whose sum is σ = 576334036992. Its totient is φ = 146250074880.

The previous prime is 313464464297. The next prime is 313464464317.

313464464313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313464464313 - 2⁴ = 313464464297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313464464317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1299481 + ... + 1521702.

It is an arithmetic number, because the mean of its divisors is an integer number (9005219328).

Almost surely, 2^313464464313 is an apocalyptic number.

313464464313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313464464313 is a deficient number, since it is larger than the sum of its proper divisors (262869572679).

313464464313 is a wasteful number, since it uses less digits than its factorization.

313464464313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821254.

The product of its digits is 746496, while the sum is 42.

It can be divided in two parts, 313464 and 464313, that added together give a palindrome (777777).

The spelling of 313464464313 in words is "three hundred thirteen billion, four hundred sixty-four million, four hundred sixty-four thousand, three hundred thirteen".