221211311224113 has 24 divisors (see below), whose sum is σ = 378699199464768. Its totient is φ = 126406463555664.

The previous prime is 221211311224093. The next prime is 221211311224157. The reversal of 221211311224113 is 311422113112122.

221211311224113 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 11 + 311 + 224 + 113 = 666.

It is not a de Polignac number, because 221211311224113 - 2²¹ = 221211309126961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (221211311224213) 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 in 23 ways as a sum of consecutive naturals, for example, 65023899306 + ... + 65023902707.

It is an arithmetic number, because the mean of its divisors is an integer number (15779133311032).

Almost surely, 2^{221211311224113} is an apocalyptic number.

It is an amenable number.

221211311224113 is a deficient number, since it is larger than the sum of its proper divisors (157487888240655).

221211311224113 is an equidigital number, since it uses as much as digits as its factorization.

221211311224113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130047802035 (or 130047802023 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

Adding to 221211311224113 its reverse (311422113112122), we get a palindrome (532633424336235).

The spelling of 221211311224113 in words is "two hundred twenty-one trillion, two hundred eleven billion, three hundred eleven million, two hundred twenty-four thousand, one hundred thirteen".