331250242052133 has 24 divisors (see below), whose sum is σ = 479563386794648. Its totient is φ = 220330129992192.

The previous prime is 331250242052089. The next prime is 331250242052203.

331250242052133 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 50 + 2 + 420 + 52 + 133 = 666.

331250242052133 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 105046777088289 + 226203464963844 = 10249233^2 + 15040062^2 .

It is not a de Polignac number, because 331250242052133 - 2³² = 331245947084837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331250242052333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41390985 + ... + 48741297.

Almost surely, 2^{331250242052133} is an apocalyptic number.

It is an amenable number.

331250242052133 is a deficient number, since it is larger than the sum of its proper divisors (148313144742515).

331250242052133 is a wasteful number, since it uses less digits than its factorization.

331250242052133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7361733 (or 7361730 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 331250242052133 in words is "three hundred thirty-one trillion, two hundred fifty billion, two hundred forty-two million, fifty-two thousand, one hundred thirty-three".