130112953344 has 1056 divisors, whose sum is σ = 470449728000. Its totient is φ = 35327508480.

The previous prime is 130112953343. The next prime is 130112953349. The reversal of 130112953344 is 443359211031.

130112953344 is a `hidden beast` number, since 1 + 3 + 0 + 112 + 9 + 533 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130112953299 and 130112953308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130112953343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1461943252 + ... + 1461943340.

Almost surely, 2^130112953344 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 130112953344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235224864000).

130112953344 is an abundant number, since it is smaller than the sum of its proper divisors (340336774656).

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

130112953344 is a wasteful number, since it uses less digits than its factorization.

130112953344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 130112953344 in words is "one hundred thirty billion, one hundred twelve million, nine hundred fifty-three thousand, three hundred forty-four".