102324231313200 has 360 divisors, whose sum is σ = 382429645401440. Its totient is φ = 25186103193600.

The previous prime is 102324231313193. The next prime is 102324231313217. The reversal of 102324231313200 is 2313132423201.

102324231313200 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 2 + 423 + 1 + 31 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 1027725021 + ... + 1027824579.

Almost surely, 2^{102324231313200} is an apocalyptic number.

102324231313200 is a gapful number since it is divisible by the number (10) 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 102324231313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191214822700720).

102324231313200 is an abundant number, since it is smaller than the sum of its proper divisors (280105414088240).

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

102324231313200 is a wasteful number, since it uses less digits than its factorization.

102324231313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121557 (or 121543 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 102324231313200 its reverse (2313132423201), we get a palindrome (104637363736401).

The spelling of 102324231313200 in words is "one hundred two trillion, three hundred twenty-four billion, two hundred thirty-one million, three hundred thirteen thousand, two hundred".