13130565 has 16 divisors (see below), whose sum is σ = 24010368. Its totient is φ = 6002496.

The previous prime is 13130561. The next prime is 13130573. The reversal of 13130565 is 56503131.

It is not a de Polignac number, because 13130565 - 2² = 13130561 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130561) 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 15 ways as a sum of consecutive naturals, for example, 62422 + ... + 62631.

It is an arithmetic number, because the mean of its divisors is an integer number (1500648).

Almost surely, 2^13130565 is an apocalyptic number.

13130565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13130565 is a deficient number, since it is larger than the sum of its proper divisors (10879803).

13130565 is a wasteful number, since it uses less digits than its factorization.

13130565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125068.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 13130565 is about 3623.6121481196. The cubic root of 13130565 is about 235.9180326759.

Adding to 13130565 its reverse (56503131), we get a palindrome (69633696).

It can be divided in two parts, 13130 and 565, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 13130565 in words is "thirteen million, one hundred thirty thousand, five hundred sixty-five".