102131301312000 has 720 divisors, whose sum is σ = 388238521537152. Its totient is φ = 25801539379200.

The previous prime is 102131301311999. The next prime is 102131301312037. The reversal of 102131301312000 is 213103131201.

102131301312000 is a `hidden beast` number, since 1 + 0 + 2 + 131 + 301 + 31 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 207690417 + ... + 208181583.

Almost surely, 2^{102131301312000} is an apocalyptic number.

102131301312000 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 102131301312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194119260768576).

102131301312000 is an abundant number, since it is smaller than the sum of its proper divisors (286107220225152).

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

102131301312000 is an equidigital number, since it uses as much as digits as its factorization.

102131301312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491244 (or 491196 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102131301312000 its reverse (213103131201), we get a palindrome (102344404443201).

The spelling of 102131301312000 in words is "one hundred two trillion, one hundred thirty-one billion, three hundred one million, three hundred twelve thousand".