313413323314313 has 8 divisors (see below), whose sum is σ = 313469764400160. Its totient is φ = 313356886323520.

The previous prime is 313413323314303. The next prime is 313413323314321.

313413323314313 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 313413323314313 - 2²⁶ = 313413256205449 is a prime.

It is a super-2 number, since 2×313413323314313² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313413323314303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154171478 + ... + 156191136.

It is an arithmetic number, because the mean of its divisors is an integer number (39183720550020).

Almost surely, 2^{313413323314313} is an apocalyptic number.

It is an amenable number.

313413323314313 is a deficient number, since it is larger than the sum of its proper divisors (56441085847).

313413323314313 is a wasteful number, since it uses less digits than its factorization.

313413323314313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047527.

The product of its digits is 209952, while the sum is 38.

The spelling of 313413323314313 in words is "three hundred thirteen trillion, four hundred thirteen billion, three hundred twenty-three million, three hundred fourteen thousand, three hundred thirteen".