221311505113 has 2 divisors, whose sum is σ = 221311505114. Its totient is φ = 221311505112.

The previous prime is 221311505083. The next prime is 221311505137. The reversal of 221311505113 is 311505113122.

221311505113 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., 197671827609 + 23639677504 = 444603^2 + 153752^2 .

It is a cyclic number.

It is not a de Polignac number, because 221311505113 - 2¹³ = 221311496921 is a prime.

It is not a weakly prime, because it can be changed into another prime (221311505143) 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, 110655752556 + 110655752557.

It is an arithmetic number, because the mean of its divisors is an integer number (110655752557).

Almost surely, 2^221311505113 is an apocalyptic number.

It is an amenable number.

221311505113 is a deficient number, since it is larger than the sum of its proper divisors (1).

221311505113 is an equidigital number, since it uses as much as digits as its factorization.

221311505113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 221311505113 its reverse (311505113122), we get a palindrome (532816618235).

The spelling of 221311505113 in words is "two hundred twenty-one billion, three hundred eleven million, five hundred five thousand, one hundred thirteen".