221221314311 has 8 divisors (see below), whose sum is σ = 233192996400. Its totient is φ = 209282477760.

The previous prime is 221221314277. The next prime is 221221314329. The reversal of 221221314311 is 113413122122.

221221314311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 221221314311 - 2⁶ = 221221314247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221221314331) 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 7 ways as a sum of consecutive naturals, for example, 8197550 + ... + 8224491.

It is an arithmetic number, because the mean of its divisors is an integer number (29149124550).

Almost surely, 2^221221314311 is an apocalyptic number.

221221314311 is a deficient number, since it is larger than the sum of its proper divisors (11971682089).

221221314311 is a wasteful number, since it uses less digits than its factorization.

221221314311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16422769.

The product of its digits is 576, while the sum is 23.

Adding to 221221314311 its reverse (113413122122), we get a palindrome (334634436433).

The spelling of 221221314311 in words is "two hundred twenty-one billion, two hundred twenty-one million, three hundred fourteen thousand, three hundred eleven".