13135137 has 16 divisors (see below), whose sum is σ = 18831360. Its totient is φ = 8117712.

The previous prime is 13135127. The next prime is 13135141. The reversal of 13135137 is 73153131.

It is not a de Polignac number, because 13135137 - 2¹⁰ = 13134113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13135117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228 + ... + 5130.

It is an arithmetic number, because the mean of its divisors is an integer number (1176960).

Almost surely, 2^13135137 is an apocalyptic number.

It is an amenable number.

13135137 is a deficient number, since it is larger than the sum of its proper divisors (5696223).

13135137 is a wasteful number, since it uses less digits than its factorization.

13135137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4972.

The product of its digits is 945, while the sum is 24.

The square root of 13135137 is about 3624.2429554322. The cubic root of 13135137 is about 235.9454113424.

Adding to 13135137 its reverse (73153131), we get a palindrome (86288268).

The spelling of 13135137 in words is "thirteen million, one hundred thirty-five thousand, one hundred thirty-seven".