313113121311313 has 8 divisors (see below), whose sum is σ = 319719147578568. Its totient is φ = 306569711407104.

The previous prime is 313113121311293. The next prime is 313113121311323.

313113121311313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 19127222347024 + 293985898964289 = 4373468^2 + 17146017^2 .

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 313113121311313 - 2²⁵ = 313113087756881 is a prime.

It is a super-2 number, since 2×313113121311313² (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 (313113121311323) 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, 15654080656 + ... + 15654100657.

It is an arithmetic number, because the mean of its divisors is an integer number (39964893447321).

Almost surely, 2^{313113121311313} is an apocalyptic number.

It is an amenable number.

313113121311313 is a deficient number, since it is larger than the sum of its proper divisors (6606026267255).

313113121311313 is a wasteful number, since it uses less digits than its factorization.

313113121311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31308181523.

The product of its digits is 1458, while the sum is 28.

The spelling of 313113121311313 in words is "three hundred thirteen trillion, one hundred thirteen billion, one hundred twenty-one million, three hundred eleven thousand, three hundred thirteen".