331541323145133 has 16 divisors (see below), whose sum is σ = 449564992050240. Its totient is φ = 217272892089344.

The previous prime is 331541323145111. The next prime is 331541323145141.

331541323145133 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 331541323145133 - 2⁵ = 331541323145101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331541323145033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31745166 + ... + 40875887.

It is an arithmetic number, because the mean of its divisors is an integer number (28097812003140).

Almost surely, 2^{331541323145133} is an apocalyptic number.

It is an amenable number.

331541323145133 is a deficient number, since it is larger than the sum of its proper divisors (118023668905107).

331541323145133 is a wasteful number, since it uses less digits than its factorization.

331541323145133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72646908.

The product of its digits is 583200, while the sum is 42.

The spelling of 331541323145133 in words is "three hundred thirty-one trillion, five hundred forty-one billion, three hundred twenty-three million, one hundred forty-five thousand, one hundred thirty-three".