221133313311017 has 2 divisors, whose sum is σ = 221133313311018. Its totient is φ = 221133313311016.

The previous prime is 221133313310891. The next prime is 221133313311067. The reversal of 221133313311017 is 710113313331122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 214271658796441 + 6861654514576 = 14638021^2 + 2619476^2 .

It is a cyclic number.

It is not a de Polignac number, because 221133313311017 - 2¹⁸ = 221133313048873 is a prime.

It is not a weakly prime, because it can be changed into another prime (221133313311067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110566656655508 + 110566656655509.

It is an arithmetic number, because the mean of its divisors is an integer number (110566656655509).

Almost surely, 2^{221133313311017} is an apocalyptic number.

It is an amenable number.

221133313311017 is a deficient number, since it is larger than the sum of its proper divisors (1).

221133313311017 is an equidigital number, since it uses as much as digits as its factorization.

221133313311017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 32.

Adding to 221133313311017 its reverse (710113313331122), we get a palindrome (931246626642139).

The spelling of 221133313311017 in words is "two hundred twenty-one trillion, one hundred thirty-three billion, three hundred thirteen million, three hundred eleven thousand, seventeen".