313312213313 has 8 divisors (see below), whose sum is σ = 342480108000. Its totient is φ = 284258479680.

The previous prime is 313312213303. The next prime is 313312213339.

313312213313 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 313312213313 - 2²⁰ = 313311164737 is a prime.

It is a super-2 number, since 2×313312213313² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (313312213303) 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, 28534520 + ... + 28545497.

It is an arithmetic number, because the mean of its divisors is an integer number (42810013500).

Almost surely, 2^313312213313 is an apocalyptic number.

It is an amenable number.

313312213313 is a deficient number, since it is larger than the sum of its proper divisors (29167894687).

313312213313 is a wasteful number, since it uses less digits than its factorization.

313312213313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57080527.

The product of its digits is 2916, while the sum is 26.

It can be divided in two parts, 313312 and 213313, that added together give a palindrome (526625).

The spelling of 313312213313 in words is "three hundred thirteen billion, three hundred twelve million, two hundred thirteen thousand, three hundred thirteen".