233213103120 has 160 divisors (see below), whose sum is σ = 726496572672. Its totient is φ = 61886601216.

The previous prime is 233213103113. The next prime is 233213103133. The reversal of 233213103120 is 21301312332.

233213103120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 67342509 + ... + 67345971.

Almost surely, 2^233213103120 is an apocalyptic number.

233213103120 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 233213103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363248286336).

233213103120 is an abundant number, since it is smaller than the sum of its proper divisors (493283469552).

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

233213103120 is a wasteful number, since it uses less digits than its factorization.

233213103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4769 (or 4763 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 233213103120 its reverse (21301312332), we get a palindrome (254514415452).

The spelling of 233213103120 in words is "two hundred thirty-three billion, two hundred thirteen million, one hundred three thousand, one hundred twenty".