13005371205 has 16 divisors (see below), whose sum is σ = 23120660160. Its totient is φ = 6936197904.

The previous prime is 13005371201. The next prime is 13005371213. The reversal of 13005371205 is 50217350031.

13005371205 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 537 + 120 + 5 = 666.

13005371205 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 13005371205 - 2² = 13005371201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005371201) 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, 48167907 + ... + 48168176.

It is an arithmetic number, because the mean of its divisors is an integer number (1445041260).

Almost surely, 2^13005371205 is an apocalyptic number.

13005371205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13005371205 is a deficient number, since it is larger than the sum of its proper divisors (10115288955).

13005371205 is an equidigital number, since it uses as much as digits as its factorization.

13005371205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96336097 (or 96336091 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The spelling of 13005371205 in words is "thirteen billion, five million, three hundred seventy-one thousand, two hundred five".