130013009280 has 2016 divisors, whose sum is σ = 608526263520. Its totient is φ = 26440888320.

The previous prime is 130013009279. The next prime is 130013009323. The reversal of 130013009280 is 82900310031.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×130013009280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 2766234217 + ... + 2766234263.

It is an arithmetic number, because the mean of its divisors is an integer number (301848345).

Almost surely, 2^130013009280 is an apocalyptic number.

130013009280 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 130013009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304263131760).

130013009280 is an abundant number, since it is smaller than the sum of its proper divisors (478513254240).

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

130013009280 is an equidigital number, since it uses as much as digits as its factorization.

130013009280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 130013009280 in words is "one hundred thirty billion, thirteen million, nine thousand, two hundred eighty".