13563131 has 6 divisors (see below), whose sum is σ = 14314932. Its totient is φ = 12848940.

The previous prime is 13563107. The next prime is 13563149. The reversal of 13563131 is 13136531.

It is a happy number.

13563131 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-13563131 is a prime.

It is a super-2 number, since 2×13563131² = 367917045046322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13563097 and 13563106.

It is not an unprimeable number, because it can be changed into a prime (13563191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18425 + ... + 19146.

It is an arithmetic number, because the mean of its divisors is an integer number (2385822).

Almost surely, 2^13563131 is an apocalyptic number.

13563131 is a deficient number, since it is larger than the sum of its proper divisors (751801).

13563131 is an equidigital number, since it uses as much as digits as its factorization.

13563131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37609 (or 37590 counting only the distinct ones).

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

The square root of 13563131 is about 3682.8156348099. The cubic root of 13563131 is about 238.4807444895.

Adding to 13563131 its reverse (13136531), we get a palindrome (26699662).

The spelling of 13563131 in words is "thirteen million, five hundred sixty-three thousand, one hundred thirty-one".