13380413 has 2 divisors, whose sum is σ = 13380414. Its totient is φ = 13380412.

The previous prime is 13380403. The next prime is 13380461. The reversal of 13380413 is 31408331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9467929 + 3912484 = 3077^2 + 1978^2 .

It is an emirp because it is prime and its reverse (31408331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13380413 - 2¹⁰ = 13379389 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13380403) 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 as a sum of consecutive naturals, namely, 6690206 + 6690207.

It is an arithmetic number, because the mean of its divisors is an integer number (6690207).

Almost surely, 2^13380413 is an apocalyptic number.

It is an amenable number.

13380413 is a deficient number, since it is larger than the sum of its proper divisors (1).

13380413 is an equidigital number, since it uses as much as digits as its factorization.

13380413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 13380413 is about 3657.9246848452. The cubic root of 13380413 is about 237.4049880343.

Adding to 13380413 its reverse (31408331), we get a palindrome (44788744).

The spelling of 13380413 in words is "thirteen million, three hundred eighty thousand, four hundred thirteen".