13135705 has 16 divisors (see below), whose sum is σ = 17284608. Its totient is φ = 9504000.

The previous prime is 13135687. The next prime is 13135711. The reversal of 13135705 is 50753131.

13135705 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13135705 - 2⁵ = 13135673 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13135705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12760 + ... + 13750.

It is an arithmetic number, because the mean of its divisors is an integer number (1080288).

Almost surely, 2^13135705 is an apocalyptic number.

It is an amenable number.

13135705 is a deficient number, since it is larger than the sum of its proper divisors (4148903).

13135705 is a wasteful number, since it uses less digits than its factorization.

13135705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248.

The product of its (nonzero) digits is 1575, while the sum is 25.

The square root of 13135705 is about 3624.3213157776. The cubic root of 13135705 is about 235.9488122728.

Adding to 13135705 its reverse (50753131), we get a palindrome (63888836).

The spelling of 13135705 in words is "thirteen million, one hundred thirty-five thousand, seven hundred five".