13681313 has 2 divisors, whose sum is σ = 13681314. Its totient is φ = 13681312.

The previous prime is 13681303. The next prime is 13681319. The reversal of 13681313 is 31318631.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7491169 + 6190144 = 2737^2 + 2488^2 .

It is a cyclic number.

It is not a de Polignac number, because 13681313 - 2¹² = 13677217 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13681319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6840656 + 6840657.

It is an arithmetic number, because the mean of its divisors is an integer number (6840657).

Almost surely, 2^13681313 is an apocalyptic number.

It is an amenable number.

13681313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13681313 is an equidigital number, since it uses as much as digits as its factorization.

13681313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 26.

The square root of 13681313 is about 3698.8258947942. The cubic root of 13681313 is about 239.1714076498.

Adding to 13681313 its reverse (31318631), we get a palindrome (44999944).

The spelling of 13681313 in words is "thirteen million, six hundred eighty-one thousand, three hundred thirteen".