221311223011 has 2 divisors, whose sum is σ = 221311223012. Its totient is φ = 221311223010.

The previous prime is 221311222999. The next prime is 221311223017. The reversal of 221311223011 is 110322113122.

221311223011 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 is a cyclic number.

It is not a de Polignac number, because 221311223011 - 2⁹ = 221311222499 is a prime.

It is a super-3 number, since 3×221311223011³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 221311223011.

It is not a weakly prime, because it can be changed into another prime (221311223017) 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, 110655611505 + 110655611506.

It is an arithmetic number, because the mean of its divisors is an integer number (110655611506).

Almost surely, 2^221311223011 is an apocalyptic number.

221311223011 is a deficient number, since it is larger than the sum of its proper divisors (1).

221311223011 is an equidigital number, since it uses as much as digits as its factorization.

221311223011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 221311223011 its reverse (110322113122), we get a palindrome (331633336133).

The spelling of 221311223011 in words is "two hundred twenty-one billion, three hundred eleven million, two hundred twenty-three thousand, eleven".