233110213113120 has 96 divisors (see below), whose sum is σ = 839196767219328. Its totient is φ = 53282334425088.

The previous prime is 233110213113109. The next prime is 233110213113257. The reversal of 233110213113120 is 21311312011332.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×233110213113120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 34689016449 + ... + 34689023168.

It is an arithmetic number, because the mean of its divisors is an integer number (8741632991868).

Almost surely, 2^{233110213113120} is an apocalyptic number.

233110213113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233110213113120 is an abundant number, since it is smaller than the sum of its proper divisors (606086554106208).

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

233110213113120 is a wasteful number, since it uses less digits than its factorization.

233110213113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69378039642 (or 69378039634 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 233110213113120 its reverse (21311312011332), we get a palindrome (254421525124452).

The spelling of 233110213113120 in words is "two hundred thirty-three trillion, one hundred ten billion, two hundred thirteen million, one hundred thirteen thousand, one hundred twenty".