221311311017 has 2 divisors, whose sum is σ = 221311311018. Its totient is φ = 221311311016.

The previous prime is 221311310947. The next prime is 221311311071. The reversal of 221311311017 is 710113113122.

Together with next prime (221311311071) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 179819250601 + 41492060416 = 424051^2 + 203696^2 .

It is a cyclic number.

It is not a de Polignac number, because 221311311017 - 2²⁰ = 221310262441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221311310983 and 221311311001.

It is not a weakly prime, because it can be changed into another prime (221311311217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110655655508 + 110655655509.

It is an arithmetic number, because the mean of its divisors is an integer number (110655655509).

Almost surely, 2^221311311017 is an apocalyptic number.

It is an amenable number.

221311311017 is a deficient number, since it is larger than the sum of its proper divisors (1).

221311311017 is an equidigital number, since it uses as much as digits as its factorization.

221311311017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 23.

Adding to 221311311017 its reverse (710113113122), we get a palindrome (931424424139).

The spelling of 221311311017 in words is "two hundred twenty-one billion, three hundred eleven million, three hundred eleven thousand, seventeen".