311333121333113 has 48 divisors (see below), whose sum is σ = 350541180493056. Its totient is φ = 276220837200000.

The previous prime is 311333121333109. The next prime is 311333121333133.

It is a happy number.

311333121333113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311333121333113 - 2² = 311333121333109 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 311333121333113.

It is not an unprimeable number, because it can be changed into a prime (311333121333103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4254252383 + ... + 4254325563.

It is an arithmetic number, because the mean of its divisors is an integer number (7302941260272).

Almost surely, 2^{311333121333113} is an apocalyptic number.

It is an amenable number.

311333121333113 is a deficient number, since it is larger than the sum of its proper divisors (39208059159943).

311333121333113 is a wasteful number, since it uses less digits than its factorization.

311333121333113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78278 (or 78267 counting only the distinct ones).

The product of its digits is 13122, while the sum is 32.

The spelling of 311333121333113 in words is "three hundred eleven trillion, three hundred thirty-three billion, one hundred twenty-one million, three hundred thirty-three thousand, one hundred thirteen".