221321213120331 has 12 divisors (see below), whose sum is σ = 319815781762152. Its totient is φ = 147487666936896.

The previous prime is 221321213120317. The next prime is 221321213120363. The reversal of 221321213120331 is 133021312123122.

221321213120331 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 2 + 12 + 1 + 312 + 0 + 331 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-221321213120331 is a prime.

It is a super-2 number, since 2×221321213120331² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221321213120295 and 221321213120304.

It is not an unprimeable number, because it can be changed into a prime (221321213120831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4984016286 + ... + 4984060691.

It is an arithmetic number, because the mean of its divisors is an integer number (26651315146846).

Almost surely, 2^{221321213120331} is an apocalyptic number.

221321213120331 is a deficient number, since it is larger than the sum of its proper divisors (98494568641821).

221321213120331 is a wasteful number, since it uses less digits than its factorization.

221321213120331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9968079450 (or 9968079447 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 221321213120331 its reverse (133021312123122), we get a palindrome (354342525243453).

The spelling of 221321213120331 in words is "two hundred twenty-one trillion, three hundred twenty-one billion, two hundred thirteen million, one hundred twenty thousand, three hundred thirty-one".