311222133220221 has 64 divisors (see below), whose sum is σ = 480425803200000. Its totient is φ = 198876376452096.

The previous prime is 311222133220169. The next prime is 311222133220291. The reversal of 311222133220221 is 122022331222113.

311222133220221 is a `hidden beast` number, since 3 + 1 + 1 + 2 + 2 + 213 + 3 + 220 + 221 = 666.

It is not a de Polignac number, because 311222133220221 - 2¹⁰ = 311222133219197 is a prime.

It is a super-2 number, since 2×311222133220221² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311222133220291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218507445 + ... + 219927141.

It is an arithmetic number, because the mean of its divisors is an integer number (7506653175000).

Almost surely, 2^{311222133220221} is an apocalyptic number.

It is an amenable number.

311222133220221 is a deficient number, since it is larger than the sum of its proper divisors (169203669979779).

311222133220221 is a wasteful number, since it uses less digits than its factorization.

311222133220221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421763 (or 1421757 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 311222133220221 its reverse (122022331222113), we get a palindrome (433244464442334).

The spelling of 311222133220221 in words is "three hundred eleven trillion, two hundred twenty-two billion, one hundred thirty-three million, two hundred twenty thousand, two hundred twenty-one".