199971313 has 2 divisors, whose sum is σ = 199971314. Its totient is φ = 199971312.

The previous prime is 199971301. The next prime is 199971329. The reversal of 199971313 is 313179991.

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., 179104689 + 20866624 = 13383^2 + 4568^2 .

It is an emirp because it is prime and its reverse (313179991) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 199971313 - 2¹³ = 199963121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 199971313.

It is not a weakly prime, because it can be changed into another prime (199971413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99985656 + 99985657.

It is an arithmetic number, because the mean of its divisors is an integer number (99985657).

Almost surely, 2^199971313 is an apocalyptic number.

It is an amenable number.

199971313 is a deficient number, since it is larger than the sum of its proper divisors (1).

199971313 is an equidigital number, since it uses as much as digits as its factorization.

199971313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45927, while the sum is 43.

The square root of 199971313 is about 14141.1213487474. The cubic root of 199971313 is about 584.7755858733.

The spelling of 199971313 in words is "one hundred ninety-nine million, nine hundred seventy-one thousand, three hundred thirteen".