13181128704 has 624 divisors, whose sum is σ = 45080642880. Its totient is φ = 3822059520.

The previous prime is 13181128703. The next prime is 13181128717. The reversal of 13181128704 is 40782118131.

It is a super-2 number, since 2×13181128704² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13181128703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321490924 + ... + 321490964.

It is an arithmetic number, because the mean of its divisors is an integer number (72244620).

Almost surely, 2^13181128704 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 13181128704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22540321440).

13181128704 is an abundant number, since it is smaller than the sum of its proper divisors (31899514176).

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

13181128704 is an equidigital number, since it uses as much as digits as its factorization.

13181128704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 13181128704 in words is "thirteen billion, one hundred eighty-one million, one hundred twenty-eight thousand, seven hundred four".