313310331222113 has 8 divisors (see below), whose sum is σ = 315599275505640. Its totient is φ = 311021416033920.

The previous prime is 313310331222103. The next prime is 313310331222127. The reversal of 313310331222113 is 311222133013313.

It can be written as a sum of positive squares in 4 ways, for example, as 140000294237584 + 173310036984529 = 11832172^2 + 13164727^2 .

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 313310331222113 - 2²⁰ = 313310330173537 is a prime.

It is a super-2 number, since 2×313310331222113² (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 (313310331222103) 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, 14580623 + ... + 28969211.

It is an arithmetic number, because the mean of its divisors is an integer number (39449909438205).

Almost surely, 2^{313310331222113} is an apocalyptic number.

It is an amenable number.

313310331222113 is a deficient number, since it is larger than the sum of its proper divisors (2288944283527).

313310331222113 is a wasteful number, since it uses less digits than its factorization.

313310331222113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14547667.

The product of its (nonzero) digits is 5832, while the sum is 29.

Adding to 313310331222113 its reverse (311222133013313), we get a palindrome (624532464235426).

The spelling of 313310331222113 in words is "three hundred thirteen trillion, three hundred ten billion, three hundred thirty-one million, two hundred twenty-two thousand, one hundred thirteen".