13130588160 has 448 divisors, whose sum is σ = 48315432960. Its totient is φ = 3379691520.

The previous prime is 13130588137. The next prime is 13130588167. The reversal of 13130588160 is 6188503131.

13130588160 is a `hidden beast` number, since 1 + 3 + 13 + 0 + 588 + 1 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130588167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34283329 + ... + 34283711.

Almost surely, 2^13130588160 is an apocalyptic number.

13130588160 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 13130588160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24157716480).

13130588160 is an abundant number, since it is smaller than the sum of its proper divisors (35184844800).

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

13130588160 is an equidigital number, since it uses as much as digits as its factorization.

13130588160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 13130588160 in words is "thirteen billion, one hundred thirty million, five hundred eighty-eight thousand, one hundred sixty".