12113313102001 has 2 divisors, whose sum is σ = 12113313102002. Its totient is φ = 12113313102000.

The previous prime is 12113313101917. The next prime is 12113313102013. The reversal of 12113313102001 is 10020131331121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8715101058225 + 3398212043776 = 2952135^2 + 1843424^2 .

It is an emirp because it is prime and its reverse (10020131331121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12113313102001 - 2⁷ = 12113313101873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12113313102001.

It is not a weakly prime, because it can be changed into another prime (12113313102031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6056656551000 + 6056656551001.

It is an arithmetic number, because the mean of its divisors is an integer number (6056656551001).

Almost surely, 2^{12113313102001} is an apocalyptic number.

It is an amenable number.

12113313102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12113313102001 is an equidigital number, since it uses as much as digits as its factorization.

12113313102001 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 12113313102001 its reverse (10020131331121), we get a palindrome (22133444433122).

The spelling of 12113313102001 in words is "twelve trillion, one hundred thirteen billion, three hundred thirteen million, one hundred two thousand, one".