313310121013313 has 4 divisors (see below), whose sum is σ = 314150094528468. Its totient is φ = 312470147498160.

The previous prime is 313310121013301. The next prime is 313310121013363.

313310121013313 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 78488117859904 + 234822003153409 = 8859352^2 + 15323903^2 .

It is a cyclic number.

It is not a de Polignac number, because 313310121013313 - 2¹² = 313310121009217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313310121013363) 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 3 ways as a sum of consecutive naturals, for example, 419986757018 + ... + 419986757763.

It is an arithmetic number, because the mean of its divisors is an integer number (78537523632117).

Almost surely, 2^{313310121013313} is an apocalyptic number.

It is an amenable number.

313310121013313 is a deficient number, since it is larger than the sum of its proper divisors (839973515155).

313310121013313 is an equidigital number, since it uses as much as digits as its factorization.

313310121013313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839973515154.

The product of its (nonzero) digits is 1458, while the sum is 26.

The spelling of 313310121013313 in words is "three hundred thirteen trillion, three hundred ten billion, one hundred twenty-one million, thirteen thousand, three hundred thirteen".