321111131021 has 2 divisors, whose sum is σ = 321111131022. Its totient is φ = 321111131020.

The previous prime is 321111130999. The next prime is 321111131023. The reversal of 321111131021 is 120131111123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 192972189796 + 128138941225 = 439286^2 + 357965^2 .

It is a cyclic number.

It is not a de Polignac number, because 321111131021 - 2¹⁴ = 321111114637 is a prime.

It is a super-2 number, since 2×321111131021² (a number of 24 digits) contains 22 as substring.

Together with 321111131023, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (321111131023) 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 as a sum of consecutive naturals, namely, 160555565510 + 160555565511.

It is an arithmetic number, because the mean of its divisors is an integer number (160555565511).

Almost surely, 2^321111131021 is an apocalyptic number.

It is an amenable number.

321111131021 is a deficient number, since it is larger than the sum of its proper divisors (1).

321111131021 is an equidigital number, since it uses as much as digits as its factorization.

321111131021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 321111131021 its reverse (120131111123), we get a palindrome (441242242144).

The spelling of 321111131021 in words is "three hundred twenty-one billion, one hundred eleven million, one hundred thirty-one thousand, twenty-one".