230333012031000 has 256 divisors, whose sum is σ = 728143468416000. Its totient is φ = 60615081139200.

The previous prime is 230333012030983. The next prime is 230333012031007. The reversal of 230333012031000 is 130210333032.

230333012031000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×230333012031000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230333012031007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67985236 + ... + 71292764.

It is an arithmetic number, because the mean of its divisors is an integer number (2844310423500).

Almost surely, 2^{230333012031000} is an apocalyptic number.

230333012031000 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 230333012031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364071734208000).

230333012031000 is an abundant number, since it is smaller than the sum of its proper divisors (497810456385000).

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

230333012031000 is a wasteful number, since it uses less digits than its factorization.

230333012031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3307859 (or 3307845 counting only the distinct ones).

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

Adding to 230333012031000 its reverse (130210333032), we get a palindrome (230463222364032).

The spelling of 230333012031000 in words is "two hundred thirty trillion, three hundred thirty-three billion, twelve million, thirty-one thousand".