13136 has 10 divisors (see below), whose sum is σ = 25482. Its totient is φ = 6560.

The previous prime is 13127. The next prime is 13147. The reversal of 13136 is 63131.

It can be written as a sum of positive squares in only one way, i.e., 10000 + 3136 = 100^2 + 56^2 .

It is a magnanimous number.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 13136.

It is a congruent number.

It is an unprimeable number.

13136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 395 + ... + 426.

2¹³¹³⁶ is an apocalyptic number.

13136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13136 is a deficient number, since it is larger than the sum of its proper divisors (12346).

13136 is an equidigital number, since it uses as much as digits as its factorization.

13136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 823 counting only the distinct ones).

The product of its digits is 54, while the sum is 14.

The square root of 13136 is about 114.6123902552. The cubic root of 13136 is about 23.5950578562.

Adding to 13136 its reverse (63131), we get a palindrome (76267).

The spelling of 13136 in words is "thirteen thousand, one hundred thirty-six".