13685113 has 8 divisors (see below), whose sum is σ = 14827400. Its totient is φ = 12630384.

The previous prime is 13685101. The next prime is 13685141. The reversal of 13685113 is 31158631.

13685113 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4149369 + 9535744 = 2037^2 + 3088^2 .

It is not a de Polignac number, because 13685113 - 2⁵ = 13685081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13685173) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 918 + ... + 5311.

It is an arithmetic number, because the mean of its divisors is an integer number (1853425).

Almost surely, 2^13685113 is an apocalyptic number.

13685113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13685113 is a deficient number, since it is larger than the sum of its proper divisors (1142287).

13685113 is an frugal number, since it uses more digits than its factorization.

13685113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6268 (or 6242 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 13685113 is about 3699.3395356469. The cubic root of 13685113 is about 239.1935489754.

The spelling of 13685113 in words is "thirteen million, six hundred eighty-five thousand, one hundred thirteen".