13536131 has 8 divisors (see below), whose sum is σ = 16380000. Its totient is φ = 10919808.

The previous prime is 13536091. The next prime is 13536137. The reversal of 13536131 is 13163531.

It is a happy number.

13536131 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 13536131 - 2¹⁸ = 13273987 is a prime.

It is a super-2 number, since 2×13536131² = 366453684898322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13536097 and 13536106.

It is not an unprimeable number, because it can be changed into a prime (13536137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56756 + ... + 56993.

It is an arithmetic number, because the mean of its divisors is an integer number (2047500).

Almost surely, 2^13536131 is an apocalyptic number.

13536131 is a deficient number, since it is larger than the sum of its proper divisors (2843869).

13536131 is a wasteful number, since it uses less digits than its factorization.

13536131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113773.

The product of its digits is 810, while the sum is 23.

The square root of 13536131 is about 3679.1481350987. The cubic root of 13536131 is about 238.3223922254.

Adding to 13536131 its reverse (13163531), we get a palindrome (26699662).

The spelling of 13536131 in words is "thirteen million, five hundred thirty-six thousand, one hundred thirty-one".