233131221120 has 256 divisors, whose sum is σ = 849985747200. Its totient is φ = 53241839616.

The previous prime is 233131221077. The next prime is 233131221133. The reversal of 233131221120 is 21122131332.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 17317432 + ... + 17330888.

It is an arithmetic number, because the mean of its divisors is an integer number (3320256825).

Almost surely, 2^233131221120 is an apocalyptic number.

233131221120 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 233131221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424992873600).

233131221120 is an abundant number, since it is smaller than the sum of its proper divisors (616854526080).

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

233131221120 is a wasteful number, since it uses less digits than its factorization.

233131221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14775 (or 14763 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 233131221120 its reverse (21122131332), we get a palindrome (254253352452).

The spelling of 233131221120 in words is "two hundred thirty-three billion, one hundred thirty-one million, two hundred twenty-one thousand, one hundred twenty".