13321000200337 has 2 divisors, whose sum is σ = 13321000200338. Its totient is φ = 13321000200336.

The previous prime is 13321000200307. The next prime is 13321000200359. The reversal of 13321000200337 is 73300200012331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11793702166416 + 1527298033921 = 3434196^2 + 1235839^2 .

It is a cyclic number.

It is not a de Polignac number, because 13321000200337 - 2¹⁵ = 13321000167569 is a prime.

It is not a weakly prime, because it can be changed into another prime (13321000200307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6660500100168 + 6660500100169.

It is an arithmetic number, because the mean of its divisors is an integer number (6660500100169).

Almost surely, 2^{13321000200337} is an apocalyptic number.

It is an amenable number.

13321000200337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13321000200337 is an equidigital number, since it uses as much as digits as its factorization.

13321000200337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 25.

Adding to 13321000200337 its reverse (73300200012331), we get a palindrome (86621200212668).

The spelling of 13321000200337 in words is "thirteen trillion, three hundred twenty-one billion, two hundred thousand, three hundred thirty-seven".