13084480401 has 16 divisors (see below), whose sum is σ = 17545651200. Its totient is φ = 8673251328.

The previous prime is 13084480369. The next prime is 13084480477. The reversal of 13084480401 is 10408448031.

13084480401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13084480401 - 2⁵ = 13084480369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13084480301) 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, 515920 + ... + 540686.

It is an arithmetic number, because the mean of its divisors is an integer number (1096603200).

Almost surely, 2^13084480401 is an apocalyptic number.

It is an amenable number.

13084480401 is a deficient number, since it is larger than the sum of its proper divisors (4461170799).

13084480401 is a wasteful number, since it uses less digits than its factorization.

13084480401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25768.

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 13084480401 in words is "thirteen billion, eighty-four million, four hundred eighty thousand, four hundred one".