13311310122281 has 2 divisors, whose sum is σ = 13311310122282. Its totient is φ = 13311310122280.

The previous prime is 13311310122193. The next prime is 13311310122293. The reversal of 13311310122281 is 18222101311331.

It is a happy number.

13311310122281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6890052761881 + 6421257360400 = 2624891^2 + 2534020^2 .

It is an emirp because it is prime and its reverse (18222101311331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13311310122281 - 2¹⁴ = 13311310105897 is a prime.

It is a super-2 number, since 2×13311310122281² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13311310122881) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6655655061140 + 6655655061141.

It is an arithmetic number, because the mean of its divisors is an integer number (6655655061141).

Almost surely, 2^{13311310122281} is an apocalyptic number.

It is an amenable number.

13311310122281 is a deficient number, since it is larger than the sum of its proper divisors (1).

13311310122281 is an equidigital number, since it uses as much as digits as its factorization.

13311310122281 is an evil number, because the sum of its binary digits is even.

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

The spelling of 13311310122281 in words is "thirteen trillion, three hundred eleven billion, three hundred ten million, one hundred twenty-two thousand, two hundred eighty-one".