331042000240133 has 32 divisors (see below), whose sum is σ = 408793059397632. Its totient is φ = 261051630840000.

The previous prime is 331042000240123. The next prime is 331042000240213.

331042000240133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331042000240133 - 2²⁶ = 331041933131269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331042000240123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96233060 + ... + 99613682.

It is an arithmetic number, because the mean of its divisors is an integer number (12774783106176).

Almost surely, 2^{331042000240133} is an apocalyptic number.

It is an amenable number.

331042000240133 is a deficient number, since it is larger than the sum of its proper divisors (77751059157499).

331042000240133 is a wasteful number, since it uses less digits than its factorization.

331042000240133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384225.

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 331042000 and 240133, that added together give a palindrome (331282133).

The spelling of 331042000240133 in words is "three hundred thirty-one trillion, forty-two billion, two hundred forty thousand, one hundred thirty-three".