13112541 has 36 divisors (see below), whose sum is σ = 21154068. Its totient is φ = 7817472.

The previous prime is 13112537. The next prime is 13112563. The reversal of 13112541 is 14521131.

13112541 is a `hidden beast` number, since 13 + 112 + 541 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1313316 + 11799225 = 1146^2 + 3435^2 .

It is not a de Polignac number, because 13112541 - 2² = 13112537 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56161 + ... + 56393.

It is an arithmetic number, because the mean of its divisors is an integer number (587613).

Almost surely, 2^13112541 is an apocalyptic number.

It is an amenable number.

13112541 is a deficient number, since it is larger than the sum of its proper divisors (8041527).

13112541 is a wasteful number, since it uses less digits than its factorization.

13112541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 286 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 13112541 is about 3621.1242729296. The cubic root of 13112541 is about 235.8100369745.

Adding to 13112541 its reverse (14521131), we get a palindrome (27633672).

The spelling of 13112541 in words is "thirteen million, one hundred twelve thousand, five hundred forty-one".