313442242244313 has 64 divisors (see below), whose sum is σ = 528535531560960. Its totient is φ = 160782439041792.

The previous prime is 313442242244293. The next prime is 313442242244317.

313442242244313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313442242244313 - 2²⁴ = 313442225467097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313442242244317) 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, 12149856 + ... + 27829902.

It is an arithmetic number, because the mean of its divisors is an integer number (8258367680640).

Almost surely, 2^{313442242244313} is an apocalyptic number.

It is an amenable number.

313442242244313 is a deficient number, since it is larger than the sum of its proper divisors (215093289316647).

313442242244313 is a wasteful number, since it uses less digits than its factorization.

313442242244313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15682086.

The product of its digits is 1327104, while the sum is 42.

The spelling of 313442242244313 in words is "three hundred thirteen trillion, four hundred forty-two billion, two hundred forty-two million, two hundred forty-four thousand, three hundred thirteen".