331320242023133 has 6 divisors (see below), whose sum is σ = 364178447843742. Its totient is φ = 301200220020920.

The previous prime is 331320242023063. The next prime is 331320242023151.

331320242023133 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 204629076839044 + 126691165184089 = 14304862^2 + 11255717^2 .

It is not a de Polignac number, because 331320242023133 - 2⁸ = 331320242022877 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 331320242023133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331320242023033) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1369091909066 + ... + 1369091909307.

It is an arithmetic number, because the mean of its divisors is an integer number (60696407973957).

Almost surely, 2^{331320242023133} is an apocalyptic number.

It is an amenable number.

331320242023133 is a deficient number, since it is larger than the sum of its proper divisors (32858205820609).

331320242023133 is a wasteful number, since it uses less digits than its factorization.

331320242023133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738183818395 (or 2738183818384 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

The spelling of 331320242023133 in words is "three hundred thirty-one trillion, three hundred twenty billion, two hundred forty-two million, twenty-three thousand, one hundred thirty-three".