313112202211313 has 8 divisors (see below), whose sum is σ = 313429310358600. Its totient is φ = 312795107509248.

The previous prime is 313112202211279. The next prime is 313112202211373.

313112202211313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 67162237296049 + 245949964915264 = 8195257^2 + 15682792^2 .

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 313112202211313 - 2¹⁴ = 313112202194929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313112202211373) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43569845 + ... + 50244957.

It is an arithmetic number, because the mean of its divisors is an integer number (39178663794825).

Almost surely, 2^{313112202211313} is an apocalyptic number.

It is an amenable number.

313112202211313 is a deficient number, since it is larger than the sum of its proper divisors (317108147287).

313112202211313 is a wasteful number, since it uses less digits than its factorization.

313112202211313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6722611.

The product of its (nonzero) digits is 1296, while the sum is 26.

It can be divided in two parts, 31311220 and 2211313, that added together give a palindrome (33522533).

The spelling of 313112202211313 in words is "three hundred thirteen trillion, one hundred twelve billion, two hundred two million, two hundred eleven thousand, three hundred thirteen".