230013001320000 has 280 divisors, whose sum is σ = 762515611847616. Its totient is φ = 61172346624000.

The previous prime is 230013001319989. The next prime is 230013001320059. The reversal of 230013001320000 is 23100310032.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 42190597 + ... + 47329403.

Almost surely, 2^{230013001320000} is an apocalyptic number.

230013001320000 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 230013001320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381257805923808).

230013001320000 is an abundant number, since it is smaller than the sum of its proper divisors (532502610527616).

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

230013001320000 is an equidigital number, since it uses as much as digits as its factorization.

230013001320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5139215 (or 5139190 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 230013001320000 its reverse (23100310032), we get a palindrome (230036101630032).

The spelling of 230013001320000 in words is "two hundred thirty trillion, thirteen billion, one million, three hundred twenty thousand".