12131313021001 has 2 divisors, whose sum is σ = 12131313021002. Its totient is φ = 12131313021000.

The previous prime is 12131313020971. The next prime is 12131313021127. The reversal of 12131313021001 is 10012031313121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11526371292601 + 604941728400 = 3395051^2 + 777780^2 .

It is a cyclic number.

It is not a de Polignac number, because 12131313021001 - 2⁷ = 12131313020873 is a prime.

It is a super-2 number, since 2×12131313021001² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12131313021001.

It is not a weakly prime, because it can be changed into another prime (12131313028001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6065656510500 + 6065656510501.

It is an arithmetic number, because the mean of its divisors is an integer number (6065656510501).

Almost surely, 2^{12131313021001} is an apocalyptic number.

It is an amenable number.

12131313021001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12131313021001 is an equidigital number, since it uses as much as digits as its factorization.

12131313021001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 12131313021001 its reverse (10012031313121), we get a palindrome (22143344334122).

The spelling of 12131313021001 in words is "twelve trillion, one hundred thirty-one billion, three hundred thirteen million, twenty-one thousand, one".