13205103405 has 48 divisors (see below), whose sum is σ = 23133801600. Its totient is φ = 6394049280.

The previous prime is 13205103383. The next prime is 13205103427. The reversal of 13205103405 is 50430150231.

13205103405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13205103383) and next prime (13205103427).

It is not a de Polignac number, because 13205103405 - 2¹⁰ = 13205102381 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 716496 + ... + 734694.

It is an arithmetic number, because the mean of its divisors is an integer number (481954200).

Almost surely, 2^13205103405 is an apocalyptic number.

13205103405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13205103405 is a deficient number, since it is larger than the sum of its proper divisors (9928698195).

13205103405 is a wasteful number, since it uses less digits than its factorization.

13205103405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18342 (or 18281 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 13205103405 its reverse (50430150231), we get a palindrome (63635253636).

The spelling of 13205103405 in words is "thirteen billion, two hundred five million, one hundred three thousand, four hundred five".