130128687000000 has 3136 divisors, whose sum is σ = 546728001792000. Its totient is φ = 30485030400000.

The previous prime is 130128686999951. The next prime is 130128687000019. The reversal of 130128687000000 is 786821031.

130128687000000 is a `hidden beast` number, since 1 + 301 + 286 + 8 + 70 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 653912999901 + ... + 653913000099.

Almost surely, 2^{130128687000000} is an apocalyptic number.

130128687000000 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 130128687000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273364000896000).

130128687000000 is an abundant number, since it is smaller than the sum of its proper divisors (416599314792000).

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

130128687000000 is an frugal number, since it uses more digits than its factorization.

130128687000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 130128687000000 in words is "one hundred thirty trillion, one hundred twenty-eight billion, six hundred eighty-seven million", and thus it is an aban number.