230031013132200 has 384 divisors, whose sum is σ = 868200201630720. Its totient is φ = 49182067814400.

The previous prime is 230031013132163. The next prime is 230031013132231. The reversal of 230031013132200 is 2231310130032.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 95 ways as a sum of consecutive naturals, for example, 1755615 + ... + 21520785.

It is an arithmetic number, because the mean of its divisors is an integer number (2260938025080).

Almost surely, 2^{230031013132200} is an apocalyptic number.

230031013132200 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 230031013132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434100100815360).

230031013132200 is an abundant number, since it is smaller than the sum of its proper divisors (638169188498520).

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

230031013132200 is a wasteful number, since it uses less digits than its factorization.

230031013132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19765377 (or 19765368 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 230031013132200 its reverse (2231310130032), we get a palindrome (232262323262232).

The spelling of 230031013132200 in words is "two hundred thirty trillion, thirty-one billion, thirteen million, one hundred thirty-two thousand, two hundred".