2123313303121 has 2 divisors, whose sum is σ = 2123313303122. Its totient is φ = 2123313303120.

The previous prime is 2123313303119. The next prime is 2123313303127. The reversal of 2123313303121 is 1213033133212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1421605520721 + 701707782400 = 1192311^2 + 837680^2 .

It is a cyclic number.

It is not a de Polignac number, because 2123313303121 - 2¹ = 2123313303119 is a prime.

It is a super-2 number, since 2×2123313303121² (a number of 25 digits) contains 22 as substring.

Together with 2123313303119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2123313303127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061656651560 + 1061656651561.

It is an arithmetic number, because the mean of its divisors is an integer number (1061656651561).

Almost surely, 2^{2123313303121} is an apocalyptic number.

It is an amenable number.

2123313303121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123313303121 is an equidigital number, since it uses as much as digits as its factorization.

2123313303121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2123313303121 its reverse (1213033133212), we get a palindrome (3336346436333).

The spelling of 2123313303121 in words is "two trillion, one hundred twenty-three billion, three hundred thirteen million, three hundred three thousand, one hundred twenty-one".