331332222233133 has 18 divisors (see below), whose sum is σ = 526054556696942. Its totient is φ = 200807407413360.

The previous prime is 331332222233087. The next prime is 331332222233153.

It is a happy number.

331332222233133 is a `hidden beast` number, since 3 + 3 + 1 + 332 + 2 + 2 + 2 + 2 + 3 + 313 + 3 = 666.

331332222233133 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 325622999430729 + 5709222802404 = 18045027^2 + 2389398^2 .

It is not a de Polignac number, because 331332222233133 - 2⁶ = 331332222233069 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 (331332222233153) 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 17 ways as a sum of consecutive naturals, for example, 152126822710 + ... + 152126824887.

Almost surely, 2^{331332222233133} is an apocalyptic number.

331332222233133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

331332222233133 is a deficient number, since it is larger than the sum of its proper divisors (194722334463809).

331332222233133 is a wasteful number, since it uses less digits than its factorization.

331332222233133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304253647625 (or 304253647611 counting only the distinct ones).

The product of its digits is 209952, while the sum is 36.

The spelling of 331332222233133 in words is "three hundred thirty-one trillion, three hundred thirty-two billion, two hundred twenty-two million, two hundred thirty-three thousand, one hundred thirty-three".