321113220021 has 40 divisors (see below), whose sum is σ = 524431420128. Its totient is φ = 194191668000.

The previous prime is 321113220011. The next prime is 321113220023. The reversal of 321113220021 is 120022311123.

321113220021 is a `hidden beast` number, since 321 + 1 + 1 + 322 + 0 + 0 + 21 = 666.

It is not a de Polignac number, because 321113220021 - 2⁷ = 321113219893 is a prime.

It is a super-3 number, since 3×321113220021³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 321113219976 and 321113220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321113220023) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19866 + ... + 801636.

Almost surely, 2^321113220021 is an apocalyptic number.

It is an amenable number.

321113220021 is a deficient number, since it is larger than the sum of its proper divisors (203318200107).

321113220021 is a wasteful number, since it uses less digits than its factorization.

321113220021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782255 (or 782246 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 321113220021 its reverse (120022311123), we get a palindrome (441135531144).

The spelling of 321113220021 in words is "three hundred twenty-one billion, one hundred thirteen million, two hundred twenty thousand, twenty-one".