13040313 has 32 divisors (see below), whose sum is σ = 20684160. Its totient is φ = 7203840.

The previous prime is 13040297. The next prime is 13040323. The reversal of 13040313 is 31304031.

It is not a de Polignac number, because 13040313 - 2⁴ = 13040297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13040292 and 13040301.

It is not an unprimeable number, because it can be changed into a prime (13040323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48343 + ... + 48611.

It is an arithmetic number, because the mean of its divisors is an integer number (646380).

Almost surely, 2^13040313 is an apocalyptic number.

13040313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13040313 is a deficient number, since it is larger than the sum of its proper divisors (7643847).

13040313 is a wasteful number, since it uses less digits than its factorization.

13040313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 13040313 is about 3611.1373554602. The cubic root of 13040313 is about 235.3762676006.

Adding to 13040313 its reverse (31304031), we get a palindrome (44344344).

The spelling of 13040313 in words is "thirteen million, forty thousand, three hundred thirteen".