130680000000 has 960 divisors, whose sum is σ = 531479108160. Its totient is φ = 31680000000.

The previous prime is 130679999999. The next prime is 130680000019. The reversal of 130680000000 is 86031.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 11879999995 + ... + 11880000005.

It is an arithmetic number, because the mean of its divisors is an integer number (553624071).

Almost surely, 2^130680000000 is an apocalyptic number.

130680000000 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 130680000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265739554080).

130680000000 is an abundant number, since it is smaller than the sum of its proper divisors (400799108160).

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

130680000000 is an frugal number, since it uses more digits than its factorization.

130680000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130680000000 its reverse (86031), we get a palindrome (130680086031).

The spelling of 130680000000 in words is "one hundred thirty billion, six hundred eighty million", and thus it is an aban number.