311213303312113 has 12 divisors (see below), whose sum is σ = 314325168381540. Its totient is φ = 308131952572416.

The previous prime is 311213303312083. The next prime is 311213303312129.

It is a happy number.

311213303312113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 207568218643984 + 103645084668129 = 14407228^2 + 10180623^2 .

It is not a de Polignac number, because 311213303312113 - 2²⁵ = 311213269757681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311213303312183) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51821793 + ... + 57514561.

It is an arithmetic number, because the mean of its divisors is an integer number (26193764031795).

Almost surely, 2^{311213303312113} is an apocalyptic number.

It is an amenable number.

311213303312113 is a deficient number, since it is larger than the sum of its proper divisors (3111865069427).

311213303312113 is an equidigital number, since it uses as much as digits as its factorization.

311213303312113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5698128 (or 5698025 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

It can be divided in two parts, 31121330 and 3312113, that added together give a palindrome (34433443).

The spelling of 311213303312113 in words is "three hundred eleven trillion, two hundred thirteen billion, three hundred three million, three hundred twelve thousand, one hundred thirteen".