233313201232000 has 128 divisors (see below), whose sum is σ = 581521533493680. Its totient is φ = 93092546560000.

The previous prime is 233313201231967. The next prime is 233313201232003. The reversal of 233313201232000 is 232102313332.

It can be written as a sum of positive squares in 8 ways, for example, as 6256281577536 + 227056919654464 = 2501256^2 + 15068408^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (233313201232003) 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, 11766139 + ... + 24598138.

Almost surely, 2^{233313201232000} is an apocalyptic number.

233313201232000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233313201232000 is an abundant number, since it is smaller than the sum of its proper divisors (348208332261680).

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

233313201232000 is an equidigital number, since it uses as much as digits as its factorization.

233313201232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36364707 (or 36364685 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 233313201232000 its reverse (232102313332), we get a palindrome (233545303545332).

The spelling of 233313201232000 in words is "two hundred thirty-three trillion, three hundred thirteen billion, two hundred one million, two hundred thirty-two thousand".