12013031123321 has 2 divisors, whose sum is σ = 12013031123322. Its totient is φ = 12013031123320.

The previous prime is 12013031123257. The next prime is 12013031123347. The reversal of 12013031123321 is 12332113031021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11920198174096 + 92832949225 = 3452564^2 + 304685^2 .

It is a cyclic number.

It is not a de Polignac number, because 12013031123321 - 2⁶ = 12013031123257 is a prime.

It is a super-2 number, since 2×12013031123321² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12013031123351) 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, 6006515561660 + 6006515561661.

It is an arithmetic number, because the mean of its divisors is an integer number (6006515561661).

Almost surely, 2^{12013031123321} is an apocalyptic number.

It is an amenable number.

12013031123321 is a deficient number, since it is larger than the sum of its proper divisors (1).

12013031123321 is an equidigital number, since it uses as much as digits as its factorization.

12013031123321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 12013031123321 its reverse (12332113031021), we get a palindrome (24345144154342).

The spelling of 12013031123321 in words is "twelve trillion, thirteen billion, thirty-one million, one hundred twenty-three thousand, three hundred twenty-one".