130131216169920 has 1120 divisors, whose sum is σ = 568508763220992. Its totient is φ = 27576740708352.

The previous prime is 130131216169811. The next prime is 130131216169967. The reversal of 130131216169920 is 29961612131031.

130131216169920 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 3 + 1 + 2 + 1 + 616 + 9 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 206345317 + ... + 206975003.

Almost surely, 2^{130131216169920} is an apocalyptic number.

130131216169920 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 130131216169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284254381610496).

130131216169920 is an abundant number, since it is smaller than the sum of its proper divisors (438377547051072).

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

130131216169920 is a wasteful number, since it uses less digits than its factorization.

130131216169920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629807 (or 629788 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 130131216169920 in words is "one hundred thirty trillion, one hundred thirty-one billion, two hundred sixteen million, one hundred sixty-nine thousand, nine hundred twenty".