13181875320 has 128 divisors (see below), whose sum is σ = 40534813440. Its totient is φ = 3427522560.

The previous prime is 13181875297. The next prime is 13181875331. The reversal of 13181875320 is 2357818131.

13181875320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 3563712 + ... + 3567408.

It is an arithmetic number, because the mean of its divisors is an integer number (316678230).

Almost surely, 2^13181875320 is an apocalyptic number.

13181875320 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 13181875320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20267406720).

13181875320 is an abundant number, since it is smaller than the sum of its proper divisors (27352938120).

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

13181875320 is a wasteful number, since it uses less digits than its factorization.

13181875320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4445 (or 4441 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 13181875320 in words is "thirteen billion, one hundred eighty-one million, eight hundred seventy-five thousand, three hundred twenty".