13135 has 8 divisors (see below), whose sum is σ = 16416. Its totient is φ = 10080.

The previous prime is 13127. The next prime is 13147. The reversal of 13135 is 53131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13135 - 2³ = 13127 is a prime.

It is a Duffinian number.

13135 is a lucky number.

It is a plaindrome in base 16.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150 + ... + 220.

It is an arithmetic number, because the mean of its divisors is an integer number (2052).

2¹³¹³⁵ is an apocalyptic number.

13135 is a deficient number, since it is larger than the sum of its proper divisors (3281).

13135 is an equidigital number, since it uses as much as digits as its factorization.

13135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113.

The product of its digits is 45, while the sum is 13.

The square root of 13135 is about 114.6080276420. The cubic root of 13135 is about 23.5944591033.

Adding to 13135 its reverse (53131), we get a palindrome (66266).

It can be divided in two parts, 1 and 3135, that added together give a square (3136 = 56²).

The spelling of 13135 in words is "thirteen thousand, one hundred thirty-five".