311222303222113 has 8 divisors (see below), whose sum is σ = 311417785463400. Its totient is φ = 311026845026688.

The previous prime is 311222303222081. The next prime is 311222303222141.

311222303222113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 91949822368209 + 219272480853904 = 9589047^2 + 14807852^2 .

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 311222303222113 - 2⁵ = 311222303222081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311222303522113) 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, 19917495 + ... + 31924147.

It is an arithmetic number, because the mean of its divisors is an integer number (38927223182925).

Almost surely, 2^{311222303222113} is an apocalyptic number.

It is an amenable number.

311222303222113 is a deficient number, since it is larger than the sum of its proper divisors (195482241287).

311222303222113 is a wasteful number, since it uses less digits than its factorization.

311222303222113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12022931.

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 31122230 and 3222113, that added together give a palindrome (34344343).

The spelling of 311222303222113 in words is "three hundred eleven trillion, two hundred twenty-two billion, three hundred three million, two hundred twenty-two thousand, one hundred thirteen".