13140136305 has 24 divisors (see below), whose sum is σ = 23619802752. Its totient is φ = 7008072048.

The previous prime is 13140136237. The next prime is 13140136327. The reversal of 13140136305 is 50363104131.

13140136305 is a `hidden beast` number, since 1 + 3 + 14 + 0 + 13 + 630 + 5 = 666.

13140136305 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 13140136305 - 2¹² = 13140132209 is a prime.

It is a super-2 number, since 2×13140136305² (a number of 21 digits) contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 5406249 + ... + 5408678.

It is an arithmetic number, because the mean of its divisors is an integer number (984158448).

Almost surely, 2^13140136305 is an apocalyptic number.

13140136305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13140136305 is a deficient number, since it is larger than the sum of its proper divisors (10479666447).

13140136305 is an equidigital number, since it uses as much as digits as its factorization.

13140136305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10814947 (or 10814935 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 13140136305 in words is "thirteen billion, one hundred forty million, one hundred thirty-six thousand, three hundred five".