331311323113133 has 12 divisors (see below), whose sum is σ = 367774274569884. Its totient is φ = 298210011792000.

The previous prime is 331311323113103. The next prime is 331311323113139.

It is a happy number.

331311323113133 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 315758222150569 + 15553100962564 = 17769587^2 + 3943742^2 .

It is not a de Polignac number, because 331311323113133 - 2²⁶ = 331311256004269 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 331311323113133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331311323113139) 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, 13554988316 + ... + 13555012757.

It is an arithmetic number, because the mean of its divisors is an integer number (30647856214157).

Almost surely, 2^{331311323113133} is an apocalyptic number.

It is an amenable number.

331311323113133 is a deficient number, since it is larger than the sum of its proper divisors (36462951456751).

331311323113133 is a wasteful number, since it uses less digits than its factorization.

331311323113133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27110001196 (or 27110001185 counting only the distinct ones).

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

The spelling of 331311323113133 in words is "three hundred thirty-one trillion, three hundred eleven billion, three hundred twenty-three million, one hundred thirteen thousand, one hundred thirty-three".