230013000030000 has 400 divisors, whose sum is σ = 852646108406400. Its totient is φ = 52825950720000.

The previous prime is 230013000029971. The next prime is 230013000030007. The reversal of 230013000030000 is 30000310032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (230013000030007) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 12072345 + ... + 24612344.

It is an arithmetic number, because the mean of its divisors is an integer number (2131615271016).

Almost surely, 2^{230013000030000} is an apocalyptic number.

230013000030000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230013000030000 is an abundant number, since it is smaller than the sum of its proper divisors (622633108376400).

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

230013000030000 is a wasteful number, since it uses less digits than its factorization.

230013000030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36684750 (or 36684729 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 230013000030000 its reverse (30000310032), we get a palindrome (230043000340032).

The spelling of 230013000030000 in words is "two hundred thirty trillion, thirteen billion, thirty thousand".