331210012133 has 48 divisors (see below), whose sum is σ = 447426602496. Its totient is φ = 238082944320.

The previous prime is 331210012097. The next prime is 331210012169.

331210012133 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (331210012097) and next prime (331210012169).

It is not a de Polignac number, because 331210012133 - 2¹⁴ = 331209995749 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331210012183) 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 47 ways as a sum of consecutive naturals, for example, 23247110 + ... + 23261352.

It is an arithmetic number, because the mean of its divisors is an integer number (9321387552).

Almost surely, 2^331210012133 is an apocalyptic number.

It is an amenable number.

331210012133 is a deficient number, since it is larger than the sum of its proper divisors (116216590363).

331210012133 is a wasteful number, since it uses less digits than its factorization.

331210012133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16074 (or 16061 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 3312100 and 12133, that added together give a palindrome (3324233).

The spelling of 331210012133 in words is "three hundred thirty-one billion, two hundred ten million, twelve thousand, one hundred thirty-three".