130968535104 has 168 divisors, whose sum is σ = 411365590272. Its totient is φ = 39509038080.

The previous prime is 130968535057. The next prime is 130968535111. The reversal of 130968535104 is 401535869031.

130968535104 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 6 + 8 + 535 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 130968535104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1366582 + ... + 1459274.

It is an arithmetic number, because the mean of its divisors is an integer number (2448604704).

Almost surely, 2^130968535104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130968535104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205682795136).

130968535104 is an abundant number, since it is smaller than the sum of its proper divisors (280397055168).

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

130968535104 is a wasteful number, since it uses less digits than its factorization.

130968535104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92945 (or 92932 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 130968535104 in words is "one hundred thirty billion, nine hundred sixty-eight million, five hundred thirty-five thousand, one hundred four".