13222211001001 has 2 divisors, whose sum is σ = 13222211001002. Its totient is φ = 13222211001000.

The previous prime is 13222211000909. The next prime is 13222211001067. The reversal of 13222211001001 is 10010011222231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12620114150400 + 602096850601 = 3552480^2 + 775949^2 .

It is a cyclic number.

It is not a de Polignac number, because 13222211001001 - 2¹⁷ = 13222210869929 is a prime.

It is not a weakly prime, because it can be changed into another prime (13222211001101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6611105500500 + 6611105500501.

It is an arithmetic number, because the mean of its divisors is an integer number (6611105500501).

Almost surely, 2^{13222211001001} is an apocalyptic number.

It is an amenable number.

13222211001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13222211001001 is an equidigital number, since it uses as much as digits as its factorization.

13222211001001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 13222211001001 its reverse (10010011222231), we get a palindrome (23232222223232).

The spelling of 13222211001001 in words is "thirteen trillion, two hundred twenty-two billion, two hundred eleven million, one thousand, one".