233133211120000 has 160 divisors (see below), whose sum is σ = 589884842052000. Its totient is φ = 91724540160000.

The previous prime is 233133211119997. The next prime is 233133211120001. The reversal of 233133211120000 is 21112331332.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233133211120001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19006600 + ... + 28766599.

It is an arithmetic number, because the mean of its divisors is an integer number (3686780262825).

Almost surely, 2^{233133211120000} is an apocalyptic number.

233133211120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233133211120000 is an abundant number, since it is smaller than the sum of its proper divisors (356751630932000).

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

233133211120000 is an frugal number, since it uses more digits than its factorization.

233133211120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47773294 (or 47773267 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 233133211120000 its reverse (21112331332), we get a palindrome (233154323451332).

The spelling of 233133211120000 in words is "two hundred thirty-three trillion, one hundred thirty-three billion, two hundred eleven million, one hundred twenty thousand".