13321131021281 has 2 divisors, whose sum is σ = 13321131021282. Its totient is φ = 13321131021280.

The previous prime is 13321131021229. The next prime is 13321131021299. The reversal of 13321131021281 is 18212013112331.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9894855980881 + 3426275040400 = 3145609^2 + 1851020^2 .

It is an emirp because it is prime and its reverse (18212013112331) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13321131021281 is a prime.

It is a super-2 number, since 2×13321131021281² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13321131021581) 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, 6660565510640 + 6660565510641.

It is an arithmetic number, because the mean of its divisors is an integer number (6660565510641).

Almost surely, 2^{13321131021281} is an apocalyptic number.

It is an amenable number.

13321131021281 is a deficient number, since it is larger than the sum of its proper divisors (1).

13321131021281 is an equidigital number, since it uses as much as digits as its factorization.

13321131021281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 13321131021281 in words is "thirteen trillion, three hundred twenty-one billion, one hundred thirty-one million, twenty-one thousand, two hundred eighty-one".