12123120313 has 2 divisors, whose sum is σ = 12123120314. Its totient is φ = 12123120312.

The previous prime is 12123120311. The next prime is 12123120341. The reversal of 12123120313 is 31302132121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10964602944 + 1158517369 = 104712^2 + 34037^2 .

It is a cyclic number.

It is not a de Polignac number, because 12123120313 - 2¹ = 12123120311 is a prime.

It is a super-2 number, since 2×12123120313² (a number of 21 digits) contains 22 as substring.

Together with 12123120311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12123120311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061560156 + 6061560157.

It is an arithmetic number, because the mean of its divisors is an integer number (6061560157).

Almost surely, 2^12123120313 is an apocalyptic number.

It is an amenable number.

12123120313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12123120313 is an equidigital number, since it uses as much as digits as its factorization.

12123120313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 12123120313 its reverse (31302132121), we get a palindrome (43425252434).

The spelling of 12123120313 in words is "twelve billion, one hundred twenty-three million, one hundred twenty thousand, three hundred thirteen".