230331001332000 has 192 divisors, whose sum is σ = 754655023309824. Its totient is φ = 61414220390400.

The previous prime is 230331001331969. The next prime is 230331001332001. The reversal of 230331001332000 is 233100133032.

It is not an unprimeable number, because it can be changed into a prime (230331001332001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99087057 + ... + 101384943.

It is an arithmetic number, because the mean of its divisors is an integer number (3930494913072).

Almost surely, 2^{230331001332000} is an apocalyptic number.

230331001332000 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 230331001332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377327511654912).

230331001332000 is an abundant number, since it is smaller than the sum of its proper divisors (524324021977824).

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

230331001332000 is a wasteful number, since it uses less digits than its factorization.

230331001332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306268 (or 2306250 counting only the distinct ones).

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

Adding to 230331001332000 its reverse (233100133032), we get a palindrome (230564101465032).

The spelling of 230331001332000 in words is "two hundred thirty trillion, three hundred thirty-one billion, one million, three hundred thirty-two thousand".