13321130221337 has 2 divisors, whose sum is σ = 13321130221338. Its totient is φ = 13321130221336.

The previous prime is 13321130221261. The next prime is 13321130221339. The reversal of 13321130221337 is 73312203112331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7515252028816 + 5805878192521 = 2741396^2 + 2409539^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13321130221337 is a prime.

It is a super-2 number, since 2×13321130221337² (a number of 27 digits) contains 22 as substring.

Together with 13321130221339, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13321130221339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6660565110668 + 6660565110669.

It is an arithmetic number, because the mean of its divisors is an integer number (6660565110669).

Almost surely, 2^{13321130221337} is an apocalyptic number.

It is an amenable number.

13321130221337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13321130221337 is an equidigital number, since it uses as much as digits as its factorization.

13321130221337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 32.

Adding to 13321130221337 its reverse (73312203112331), we get a palindrome (86633333333668).

The spelling of 13321130221337 in words is "thirteen trillion, three hundred twenty-one billion, one hundred thirty million, two hundred twenty-one thousand, three hundred thirty-seven".