13331313 has 6 divisors (see below), whose sum is σ = 19256354. Its totient is φ = 8887536.

The previous prime is 13331309. The next prime is 13331411. The reversal of 13331313 is 31313331.

It can be written as a sum of positive squares in only one way, i.e., 13307904 + 23409 = 3648^2 + 153^2 .

It is not a de Polignac number, because 13331313 - 2² = 13331309 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13332313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 740620 + ... + 740637.

Almost surely, 2^13331313 is an apocalyptic number.

It is an amenable number.

13331313 is a deficient number, since it is larger than the sum of its proper divisors (5925041).

13331313 is a wasteful number, since it uses less digits than its factorization.

13331313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481263 (or 1481260 counting only the distinct ones).

The product of its digits is 243, while the sum is 18.

The square root of 13331313 is about 3651.2070606855. The cubic root of 13331313 is about 237.1142428442.

Adding to 13331313 its reverse (31313331), we get a palindrome (44644644).

The spelling of 13331313 in words is "thirteen million, three hundred thirty-one thousand, three hundred thirteen".