13137313 has 8 divisors (see below), whose sum is σ = 15036032. Its totient is φ = 11244096.

The previous prime is 13137287. The next prime is 13137329. The reversal of 13137313 is 31373131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13137313 - 2⁵ = 13137281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13137013) 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 7 ways as a sum of consecutive naturals, for example, 8356 + ... + 9802.

It is an arithmetic number, because the mean of its divisors is an integer number (1879504).

Almost surely, 2^13137313 is an apocalyptic number.

It is an amenable number.

13137313 is a deficient number, since it is larger than the sum of its proper divisors (1898719).

13137313 is a wasteful number, since it uses less digits than its factorization.

13137313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751.

The product of its digits is 567, while the sum is 22.

The square root of 13137313 is about 3624.5431436251. The cubic root of 13137313 is about 235.9584397274.

The spelling of 13137313 in words is "thirteen million, one hundred thirty-seven thousand, three hundred thirteen".