233133130120 has 128 divisors (see below), whose sum is σ = 583381440000. Its totient is φ = 83138964480.

The previous prime is 233133130103. The next prime is 233133130171. The reversal of 233133130120 is 21031331332.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 233133130091 and 233133130100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5156734 + ... + 5201746.

It is an arithmetic number, because the mean of its divisors is an integer number (4557667500).

Almost surely, 2^233133130120 is an apocalyptic number.

233133130120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233133130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291690720000).

233133130120 is an abundant number, since it is smaller than the sum of its proper divisors (350248309880).

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

233133130120 is a wasteful number, since it uses less digits than its factorization.

233133130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45263 (or 45259 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 233133130120 its reverse (21031331332), we get a palindrome (254164461452).

The spelling of 233133130120 in words is "two hundred thirty-three billion, one hundred thirty-three million, one hundred thirty thousand, one hundred twenty".