233133323120 has 40 divisors (see below), whose sum is σ = 565601718816. Its totient is φ = 89198835968.

The previous prime is 233133323057. The next prime is 233133323173. The reversal of 233133323120 is 21323331332.

It is a happy number.

233133323120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×233133323120² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 233133323120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63349607 + ... + 63353286.

Almost surely, 2^233133323120 is an apocalyptic number.

233133323120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233133323120 is an abundant number, since it is smaller than the sum of its proper divisors (332468395696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233133323120 is a wasteful number, since it uses less digits than its factorization.

233133323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126702929 (or 126702923 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 233133323120 its reverse (21323331332), we get a palindrome (254456654452).

It can be divided in two parts, 23313 and 3323120, that added together give a palindrome (3346433).

The spelling of 233133323120 in words is "two hundred thirty-three billion, one hundred thirty-three million, three hundred twenty-three thousand, one hundred twenty".