130731318081168 has 160 divisors (see below), whose sum is σ = 392364314886144. Its totient is φ = 36734677410816.

The previous prime is 130731318081163. The next prime is 130731318081181. The reversal of 130731318081168 is 861180813137031.

It is a self number, because there is not a number n which added to its sum of digits gives 130731318081168.

It is not an unprimeable number, because it can be changed into a prime (130731318081163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9183921 + ... + 18595887.

Almost surely, 2^{130731318081168} 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 130731318081168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196182157443072).

130731318081168 is an abundant number, since it is smaller than the sum of its proper divisors (261632996804976).

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

130731318081168 is a wasteful number, since it uses less digits than its factorization.

130731318081168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9412669 (or 9412663 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The spelling of 130731318081168 in words is "one hundred thirty trillion, seven hundred thirty-one billion, three hundred eighteen million, eighty-one thousand, one hundred sixty-eight".