331123321121 has 2 divisors, whose sum is σ = 331123321122. Its totient is φ = 331123321120.

The previous prime is 331123321099. The next prime is 331123321141. The reversal of 331123321121 is 121123321133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198616400896 + 132506920225 = 445664^2 + 364015^2 .

It is a cyclic number.

It is not a de Polignac number, because 331123321121 - 2³⁸ = 56245414177 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (331123321141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165561660560 + 165561660561.

It is an arithmetic number, because the mean of its divisors is an integer number (165561660561).

Almost surely, 2^331123321121 is an apocalyptic number.

It is an amenable number.

331123321121 is a deficient number, since it is larger than the sum of its proper divisors (1).

331123321121 is an equidigital number, since it uses as much as digits as its factorization.

331123321121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 648, while the sum is 23.

Adding to 331123321121 its reverse (121123321133), we get a palindrome (452246642254).

The spelling of 331123321121 in words is "three hundred thirty-one billion, one hundred twenty-three million, three hundred twenty-one thousand, one hundred twenty-one".