13185135 has 24 divisors (see below), whose sum is σ = 23474880. Its totient is φ = 6841152.

The previous prime is 13185127. The next prime is 13185157. The reversal of 13185135 is 53158131.

13185135 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 13185135 - 2³ = 13185127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13185099 and 13185108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2295 + ... + 5624.

It is an arithmetic number, because the mean of its divisors is an integer number (978120).

Almost surely, 2^13185135 is an apocalyptic number.

13185135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13185135 is a deficient number, since it is larger than the sum of its proper divisors (10289745).

13185135 is a wasteful number, since it uses less digits than its factorization.

13185135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7967 (or 7964 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 13185135 is about 3631.1341203541. The cubic root of 13185135 is about 236.2444023197.

The spelling of 13185135 in words is "thirteen million, one hundred eighty-five thousand, one hundred thirty-five".