230313232321200 has 240 divisors, whose sum is σ = 936850862786560. Its totient is φ = 52643024513280.

The previous prime is 230313232321181. The next prime is 230313232321213. The reversal of 230313232321200 is 2123232313032.

230313232321200 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 132 + 3 + 2 + 321 + 200 = 666.

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

It is a super-3 number, since 3×230313232321200³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1523160064 + ... + 1523311263.

Almost surely, 2^{230313232321200} is an apocalyptic number.

230313232321200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230313232321200 is an abundant number, since it is smaller than the sum of its proper divisors (706537630465360).

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

230313232321200 is a wasteful number, since it uses less digits than its factorization.

230313232321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046471361 (or 3046471344 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 230313232321200 its reverse (2123232313032), we get a palindrome (232436464634232).

The spelling of 230313232321200 in words is "two hundred thirty trillion, three hundred thirteen billion, two hundred thirty-two million, three hundred twenty-one thousand, two hundred".