130512717000 has 384 divisors, whose sum is σ = 458723865600. Its totient is φ = 33441408000.

The previous prime is 130512716989. The next prime is 130512717007. The reversal of 130512717000 is 717215031.

It is a happy number.

130512717000 is a `hidden beast` number, since 13 + 0 + 512 + 71 + 70 + 0 + 0 = 666.

130512717000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (130512717007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24720361 + ... + 24725639.

It is an arithmetic number, because the mean of its divisors is an integer number (1194593400).

Almost surely, 2^130512717000 is an apocalyptic number.

130512717000 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 130512717000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229361932800).

130512717000 is an abundant number, since it is smaller than the sum of its proper divisors (328211148600).

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

130512717000 is a wasteful number, since it uses less digits than its factorization.

130512717000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5414 (or 5397 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The spelling of 130512717000 in words is "one hundred thirty billion, five hundred twelve million, seven hundred seventeen thousand".