331332233133 has 32 divisors (see below), whose sum is σ = 489926928384. Its totient is φ = 197479800000.

The previous prime is 331332233119. The next prime is 331332233149.

It is a happy number.

331332233133 is nontrivially palindromic in base 10.

331332233133 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 331332233133 - 2⁸ = 331332232877 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 331332233133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331332233173) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14786368 + ... + 14808758.

It is an arithmetic number, because the mean of its divisors is an integer number (15310216512).

Almost surely, 2^331332233133 is an apocalyptic number.

331332233133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

331332233133 is a deficient number, since it is larger than the sum of its proper divisors (158594695251).

331332233133 is a wasteful number, since it uses less digits than its factorization.

331332233133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29817.

The product of its digits is 26244, while the sum is 30.

It can be divided in two parts, 331332 and 233133, that added together give a palindrome (564465).

The spelling of 331332233133 in words is "three hundred thirty-one billion, three hundred thirty-two million, two hundred thirty-three thousand, one hundred thirty-three".