13184920801 has 16 divisors (see below), whose sum is σ = 14242035024. Its totient is φ = 12134006784.

The previous prime is 13184920783. The next prime is 13184920811. The reversal of 13184920801 is 10802948131.

13184920801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1049695201 + 12135225600 = 32399^2 + 110160^2 .

It is a cyclic number.

It is not a de Polignac number, because 13184920801 - 2¹¹ = 13184918753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13184920811) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10833345 + ... + 10834561.

It is an arithmetic number, because the mean of its divisors is an integer number (890127189).

Almost surely, 2^13184920801 is an apocalyptic number.

It is an amenable number.

13184920801 is a deficient number, since it is larger than the sum of its proper divisors (1057114223).

13184920801 is a wasteful number, since it uses less digits than its factorization.

13184920801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060.

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 13184920801 in words is "thirteen billion, one hundred eighty-four million, nine hundred twenty thousand, eight hundred one".