102131323200 has 336 divisors, whose sum is σ = 391904728000. Its totient is φ = 25801390080.

The previous prime is 102131323187. The next prime is 102131323271. The reversal of 102131323200 is 2323131201.

102131323200 is a `hidden beast` number, since 1 + 0 + 213 + 132 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 758586 + ... + 883014.

Almost surely, 2^102131323200 is an apocalyptic number.

102131323200 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 102131323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195952364000).

102131323200 is an abundant number, since it is smaller than the sum of its proper divisors (289773404800).

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

102131323200 is a wasteful number, since it uses less digits than its factorization.

102131323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124479 (or 124458 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102131323200 its reverse (2323131201), we get a palindrome (104454454401).

The spelling of 102131323200 in words is "one hundred two billion, one hundred thirty-one million, three hundred twenty-three thousand, two hundred".