12131113121 has 2 divisors, whose sum is σ = 12131113122. Its totient is φ = 12131113120.

The previous prime is 12131113109. The next prime is 12131113139.

12131113121 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8854810000 + 3276303121 = 94100^2 + 57239^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 12131113121 - 2¹⁴ = 12131096737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12131113121.

It is not a weakly prime, because it can be changed into another prime (12131193121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6065556560 + 6065556561.

It is an arithmetic number, because the mean of its divisors is an integer number (6065556561).

Almost surely, 2^12131113121 is an apocalyptic number.

It is an amenable number.

12131113121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12131113121 is an equidigital number, since it uses as much as digits as its factorization.

12131113121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36, while the sum is 17.

The spelling of 12131113121 in words is "twelve billion, one hundred thirty-one million, one hundred thirteen thousand, one hundred twenty-one".