230100231133200 has 240 divisors, whose sum is σ = 744053866522560. Its totient is φ = 60780463810560.

The previous prime is 230100231133193. The next prime is 230100231133229. The reversal of 230100231133200 is 2331132001032.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×230100231133200² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 480712387 + ... + 481190813.

It is an arithmetic number, because the mean of its divisors is an integer number (3100224443844).

Almost surely, 2^{230100231133200} is an apocalyptic number.

230100231133200 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 230100231133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372026933261280).

230100231133200 is an abundant number, since it is smaller than the sum of its proper divisors (513953635389360).

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

230100231133200 is a wasteful number, since it uses less digits than its factorization.

230100231133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482234 (or 482223 counting only the distinct ones).

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

Adding to 230100231133200 its reverse (2331132001032), we get a palindrome (232431363134232).

The spelling of 230100231133200 in words is "two hundred thirty trillion, one hundred billion, two hundred thirty-one million, one hundred thirty-three thousand, two hundred".