130013138880 has 560 divisors, whose sum is σ = 471885410304. Its totient is φ = 33973032960.

The previous prime is 130013138869. The next prime is 130013138921. The reversal of 130013138880 is 88831310031.

130013138880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 479753145 + ... + 479753415.

Almost surely, 2^130013138880 is an apocalyptic number.

130013138880 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 130013138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235942705152).

130013138880 is an abundant number, since it is smaller than the sum of its proper divisors (341872271424).

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

130013138880 is a wasteful number, since it uses less digits than its factorization.

130013138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 130013138880 in words is "one hundred thirty billion, thirteen million, one hundred thirty-eight thousand, eight hundred eighty".