13405131 has 24 divisors (see below), whose sum is σ = 19964880. Its totient is φ = 8663616.

The previous prime is 13405123. The next prime is 13405151. The reversal of 13405131 is 13150431.

It is not a de Polignac number, because 13405131 - 2³ = 13405123 is a prime.

It is a super-2 number, since 2×13405131² = 359395074254322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13405111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74800 + ... + 74978.

It is an arithmetic number, because the mean of its divisors is an integer number (831870).

Almost surely, 2^13405131 is an apocalyptic number.

13405131 is a deficient number, since it is larger than the sum of its proper divisors (6559749).

13405131 is a wasteful number, since it uses less digits than its factorization.

13405131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13405131 is about 3661.3018176599. The cubic root of 13405131 is about 237.5510863328.

Adding to 13405131 its reverse (13150431), we get a palindrome (26555562).

The spelling of 13405131 in words is "thirteen million, four hundred five thousand, one hundred thirty-one".