102313131232200 has 384 divisors, whose sum is σ = 389677030502400. Its totient is φ = 21683639623680.

The previous prime is 102313131232187. The next prime is 102313131232253. The reversal of 102313131232200 is 2232131313201.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 9888969 + ... + 17390168.

It is an arithmetic number, because the mean of its divisors is an integer number (1014783933600).

Almost surely, 2^{102313131232200} is an apocalyptic number.

102313131232200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102313131232200 is an abundant number, since it is smaller than the sum of its proper divisors (287363899270200).

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

102313131232200 is a wasteful number, since it uses less digits than its factorization.

102313131232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27279229 (or 27279220 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 102313131232200 its reverse (2232131313201), we get a palindrome (104545262545401).

The spelling of 102313131232200 in words is "one hundred two trillion, three hundred thirteen billion, one hundred thirty-one million, two hundred thirty-two thousand, two hundred".