13031221330289 has 2 divisors, whose sum is σ = 13031221330290. Its totient is φ = 13031221330288.

The previous prime is 13031221330229. The next prime is 13031221330363. The reversal of 13031221330289 is 98203312213031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12455393808400 + 575827521889 = 3529220^2 + 758833^2 .

It is an emirp because it is prime and its reverse (98203312213031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13031221330289 - 2¹⁶ = 13031221264753 is a prime.

It is not a weakly prime, because it can be changed into another prime (13031221330229) 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, 6515610665144 + 6515610665145.

It is an arithmetic number, because the mean of its divisors is an integer number (6515610665145).

Almost surely, 2^{13031221330289} is an apocalyptic number.

It is an amenable number.

13031221330289 is a deficient number, since it is larger than the sum of its proper divisors (1).

13031221330289 is an equidigital number, since it uses as much as digits as its factorization.

13031221330289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 13031221330289 in words is "thirteen trillion, thirty-one billion, two hundred twenty-one million, three hundred thirty thousand, two hundred eighty-nine".