3121323303121 has 2 divisors, whose sum is σ = 3121323303122. Its totient is φ = 3121323303120.

The previous prime is 3121323303107. The next prime is 3121323303149. The reversal of 3121323303121 is 1213033231213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2179328825025 + 941994478096 = 1476255^2 + 970564^2 .

It is a cyclic number.

It is not a de Polignac number, because 3121323303121 - 2¹⁷ = 3121323172049 is a prime.

It is not a weakly prime, because it can be changed into another prime (3121323301121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1560661651560 + 1560661651561.

It is an arithmetic number, because the mean of its divisors is an integer number (1560661651561).

Almost surely, 2^{3121323303121} is an apocalyptic number.

It is an amenable number.

3121323303121 is a deficient number, since it is larger than the sum of its proper divisors (1).

3121323303121 is an equidigital number, since it uses as much as digits as its factorization.

3121323303121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 3121323303121 its reverse (1213033231213), we get a palindrome (4334356534334).

The spelling of 3121323303121 in words is "three trillion, one hundred twenty-one billion, three hundred twenty-three million, three hundred three thousand, one hundred twenty-one".