230100013332200 has 384 divisors, whose sum is σ = 599335308656640. Its totient is φ = 81455310720000.

The previous prime is 230100013332143. The next prime is 230100013332263. The reversal of 230100013332200 is 2233310001032.

230100013332200 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 2×230100013332200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4185663914 + ... + 4185718886.

It is an arithmetic number, because the mean of its divisors is an integer number (1560769032960).

Almost surely, 2^{230100013332200} is an apocalyptic number.

230100013332200 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 230100013332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299667654328320).

230100013332200 is an abundant number, since it is smaller than the sum of its proper divisors (369235295324440).

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

230100013332200 is a wasteful number, since it uses less digits than its factorization.

230100013332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55409 (or 55400 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 230100013332200 its reverse (2233310001032), we get a palindrome (232333323333232).

The spelling of 230100013332200 in words is "two hundred thirty trillion, one hundred billion, thirteen million, three hundred thirty-two thousand, two hundred".