12003332313121 has 2 divisors, whose sum is σ = 12003332313122. Its totient is φ = 12003332313120.

The previous prime is 12003332313101. The next prime is 12003332313151. The reversal of 12003332313121 is 12131323330021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8855599898896 + 3147732414225 = 2975836^2 + 1774185^2 .

It is a cyclic number.

It is not a de Polignac number, because 12003332313121 - 2¹¹ = 12003332311073 is a prime.

It is not a weakly prime, because it can be changed into another prime (12003332313101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001666156560 + 6001666156561.

It is an arithmetic number, because the mean of its divisors is an integer number (6001666156561).

Almost surely, 2^{12003332313121} is an apocalyptic number.

It is an amenable number.

12003332313121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12003332313121 is an equidigital number, since it uses as much as digits as its factorization.

12003332313121 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 12003332313121 its reverse (12131323330021), we get a palindrome (24134655643142).

The spelling of 12003332313121 in words is "twelve trillion, three billion, three hundred thirty-two million, three hundred thirteen thousand, one hundred twenty-one".