230333131200 has 168 divisors, whose sum is σ = 756156660912. Its totient is φ = 61383802880.

The previous prime is 230333131199. The next prime is 230333131213. The reversal of 230333131200 is 2131333032.

230333131200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8131462 + ... + 8159738.

Almost surely, 2^230333131200 is an apocalyptic number.

230333131200 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 230333131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378078330456).

230333131200 is an abundant number, since it is smaller than the sum of its proper divisors (525823529712).

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

230333131200 is a wasteful number, since it uses less digits than its factorization.

230333131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29999 (or 29984 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 230333131200 its reverse (2131333032), we get a palindrome (232464464232).

The spelling of 230333131200 in words is "two hundred thirty billion, three hundred thirty-three million, one hundred thirty-one thousand, two hundred".