102131333142300 has 432 divisors, whose sum is σ = 399138855478272. Its totient is φ = 21220926220800.

The previous prime is 102131333142277. The next prime is 102131333142359. The reversal of 102131333142300 is 3241333131201.

102131333142300 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 313 + 3 + 3 + 1 + 42 + 300 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1899278214 + ... + 1899331986.

Almost surely, 2^{102131333142300} is an apocalyptic number.

102131333142300 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 102131333142300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199569427739136).

102131333142300 is an abundant number, since it is smaller than the sum of its proper divisors (297007522335972).

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

102131333142300 is a wasteful number, since it uses less digits than its factorization.

102131333142300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81218 (or 81208 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 102131333142300 its reverse (3241333131201), we get a palindrome (105372666273501).

The spelling of 102131333142300 in words is "one hundred two trillion, one hundred thirty-one billion, three hundred thirty-three million, one hundred forty-two thousand, three hundred".