230233412013000 has 256 divisors, whose sum is σ = 804810028688640. Its totient is φ = 54305669376000.

The previous prime is 230233412012987. The next prime is 230233412013013. The reversal of 230233412013000 is 310214332032.

It is an interprime number because it is at equal distance from previous prime (230233412012987) and next prime (230233412013013).

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 (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93059677 + ... + 95501676.

It is an arithmetic number, because the mean of its divisors is an integer number (3143789174565).

Almost surely, 2^{230233412013000} is an apocalyptic number.

230233412013000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230233412013000 is an abundant number, since it is smaller than the sum of its proper divisors (574576616675640).

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

230233412013000 is a wasteful number, since it uses less digits than its factorization.

230233412013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188561425 (or 188561411 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 230233412013000 its reverse (310214332032), we get a palindrome (230543626345032).

The spelling of 230233412013000 in words is "two hundred thirty trillion, two hundred thirty-three billion, four hundred twelve million, thirteen thousand".