13131275 has 24 divisors (see below), whose sum is σ = 17436384. Its totient is φ = 9785600.

The previous prime is 13131271. The next prime is 13131281. The reversal of 13131275 is 57213131.

13131275 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13131275 - 2² = 13131271 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13131275.

It is not an unprimeable number, because it can be changed into a prime (13131271) 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 23 ways as a sum of consecutive naturals, for example, 23297 + ... + 23853.

It is an arithmetic number, because the mean of its divisors is an integer number (726516).

Almost surely, 2^13131275 is an apocalyptic number.

13131275 is a deficient number, since it is larger than the sum of its proper divisors (4305109).

13131275 is a wasteful number, since it uses less digits than its factorization.

13131275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 626 counting only the distinct ones).

The product of its digits is 630, while the sum is 23.

The square root of 13131275 is about 3623.7101153376. The cubic root of 13131275 is about 235.9222848104.

The spelling of 13131275 in words is "thirteen million, one hundred thirty-one thousand, two hundred seventy-five".