13413313 has 2 divisors, whose sum is σ = 13413314. Its totient is φ = 13413312.

The previous prime is 13413311. The next prime is 13413319. The reversal of 13413313 is 31331431.

13413313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8625969 + 4787344 = 2937^2 + 2188^2 .

It is an emirp because it is prime and its reverse (31331431) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13413313 - 2¹ = 13413311 is a prime.

Together with 13413311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13413311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6706656 + 6706657.

It is an arithmetic number, because the mean of its divisors is an integer number (6706657).

Almost surely, 2^13413313 is an apocalyptic number.

It is an amenable number.

13413313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13413313 is an equidigital number, since it uses as much as digits as its factorization.

13413313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 324, while the sum is 19.

The square root of 13413313 is about 3662.4190093434. The cubic root of 13413313 is about 237.5994073247.

Adding to 13413313 its reverse (31331431), we get a palindrome (44744744).

The spelling of 13413313 in words is "thirteen million, four hundred thirteen thousand, three hundred thirteen".