130181968008768 has 112 divisors (see below), whose sum is σ = 374401843341120. Its totient is φ = 39681635026944.

The previous prime is 130181968008733. The next prime is 130181968008769. The reversal of 130181968008768 is 867800869181031.

It is a junction number, because it is equal to n+sod(n) for n = 130181968008699 and 130181968008708.

It is not an unprimeable number, because it can be changed into a prime (130181968008769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243453663 + ... + 243987806.

It is an arithmetic number, because the mean of its divisors is an integer number (3342873601260).

Almost surely, 2^{130181968008768} is an apocalyptic number.

It is an amenable number.

130181968008768 is an abundant number, since it is smaller than the sum of its proper divisors (244219875332352).

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

130181968008768 is a wasteful number, since it uses less digits than its factorization.

130181968008768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487441604 (or 487441594 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 66.

The spelling of 130181968008768 in words is "one hundred thirty trillion, one hundred eighty-one billion, nine hundred sixty-eight million, eight thousand, seven hundred sixty-eight".