233010113120 has 96 divisors (see below), whose sum is σ = 572523668640. Its totient is φ = 89543946240.

The previous prime is 233010113117. The next prime is 233010113129. The reversal of 233010113120 is 21311010332.

It is a super-2 number, since 2×233010113120² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233010113129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142076 + ... + 697284.

It is an arithmetic number, because the mean of its divisors is an integer number (5963788215).

Almost surely, 2^233010113120 is an apocalyptic number.

233010113120 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 233010113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286261834320).

233010113120 is an abundant number, since it is smaller than the sum of its proper divisors (339513555520).

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

233010113120 is a wasteful number, since it uses less digits than its factorization.

233010113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555328 (or 555320 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 233010113120 its reverse (21311010332), we get a palindrome (254321123452).

The spelling of 233010113120 in words is "two hundred thirty-three billion, ten million, one hundred thirteen thousand, one hundred twenty".