1327136813 has 2 divisors, whose sum is σ = 1327136814. Its totient is φ = 1327136812.

The previous prime is 1327136743. The next prime is 1327136819. The reversal of 1327136813 is 3186317231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1017482404 + 309654409 = 31898^2 + 17597^2 .

It is an emirp because it is prime and its reverse (3186317231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1327136813 - 2¹⁴ = 1327120429 is a prime.

It is a super-2 number, since 2×1327136813² = 3522584240839593938, which contains 22 as substring.

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 (1327136819) 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, 663568406 + 663568407.

It is an arithmetic number, because the mean of its divisors is an integer number (663568407).

Almost surely, 2^1327136813 is an apocalyptic number.

It is an amenable number.

1327136813 is a deficient number, since it is larger than the sum of its proper divisors (1).

1327136813 is an equidigital number, since it uses as much as digits as its factorization.

1327136813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 35.

The square root of 1327136813 is about 36429.8890061444. The cubic root of 1327136813 is about 1098.9347298532.

The spelling of 1327136813 in words is "one billion, three hundred twenty-seven million, one hundred thirty-six thousand, eight hundred thirteen".