313213121312313 has 8 divisors (see below), whose sum is σ = 417724879386400. Its totient is φ = 208755055389888.

The previous prime is 313213121312303. The next prime is 313213121312323.

313213121312313 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (313213121312303) and next prime (313213121312323).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 313213121312313 - 2¹⁶ = 313213121246777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313213121312303) 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, 13423024303 + ... + 13423047636.

It is an arithmetic number, because the mean of its divisors is an integer number (52215609923300).

Almost surely, 2^{313213121312313} is an apocalyptic number.

It is an amenable number.

313213121312313 is a deficient number, since it is larger than the sum of its proper divisors (104511758074087).

313213121312313 is a wasteful number, since it uses less digits than its factorization.

313213121312313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26846075831.

The product of its digits is 5832, while the sum is 30.

The spelling of 313213121312313 in words is "three hundred thirteen trillion, two hundred thirteen billion, one hundred twenty-one million, three hundred twelve thousand, three hundred thirteen".