13205024413 has 16 divisors (see below), whose sum is σ = 15449702400. Its totient is φ = 11050156656.

The previous prime is 13205024381. The next prime is 13205024467. The reversal of 13205024413 is 31442050231.

13205024413 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 13205024413 - 2⁵ = 13205024381 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13205024473) 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, 712956 + ... + 731242.

It is an arithmetic number, because the mean of its divisors is an integer number (965606400).

Almost surely, 2^13205024413 is an apocalyptic number.

It is an amenable number.

13205024413 is a deficient number, since it is larger than the sum of its proper divisors (2244677987).

13205024413 is a wasteful number, since it uses less digits than its factorization.

13205024413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20736.

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 13205024413 its reverse (31442050231), we get a palindrome (44647074644).

The spelling of 13205024413 in words is "thirteen billion, two hundred five million, twenty-four thousand, four hundred thirteen".