3121321123331 has 2 divisors, whose sum is σ = 3121321123332. Its totient is φ = 3121321123330.

The previous prime is 3121321123313. The next prime is 3121321123343. The reversal of 3121321123331 is 1333211231213.

Together with previous prime (3121321123313) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 3121321123331 - 2⁶ = 3121321123267 is a prime.

It is a super-2 number, since 2×3121321123331² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3121321123331.

It is not a weakly prime, because it can be changed into another prime (3121321123631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1560660561665 + 1560660561666.

It is an arithmetic number, because the mean of its divisors is an integer number (1560660561666).

Almost surely, 2^{3121321123331} is an apocalyptic number.

3121321123331 is a deficient number, since it is larger than the sum of its proper divisors (1).

3121321123331 is an equidigital number, since it uses as much as digits as its factorization.

3121321123331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 26.

Adding to 3121321123331 its reverse (1333211231213), we get a palindrome (4454532354544).

The spelling of 3121321123331 in words is "three trillion, one hundred twenty-one billion, three hundred twenty-one million, one hundred twenty-three thousand, three hundred thirty-one".