233513130000 has 200 divisors, whose sum is σ = 764144870368. Its totient is φ = 61416576000.

The previous prime is 233513129977. The next prime is 233513130017. The reversal of 233513130000 is 31315332.

233513130000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

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 39 ways as a sum of consecutive naturals, for example, 2136687 + ... + 2243313.

Almost surely, 2^233513130000 is an apocalyptic number.

233513130000 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 233513130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382072435184).

233513130000 is an abundant number, since it is smaller than the sum of its proper divisors (530631740368).

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

233513130000 is a wasteful number, since it uses less digits than its factorization.

233513130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106731 (or 106710 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

Adding to 233513130000 its reverse (31315332), we get a palindrome (233544445332).

The spelling of 233513130000 in words is "two hundred thirty-three billion, five hundred thirteen million, one hundred thirty thousand".