2113330431313 has 2 divisors, whose sum is σ = 2113330431314. Its totient is φ = 2113330431312.

The previous prime is 2113330431301. The next prime is 2113330431323. The reversal of 2113330431313 is 3131340333112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1450550454544 + 662779976769 = 1204388^2 + 814113^2 .

It is a cyclic number.

It is not a de Polignac number, because 2113330431313 - 2³⁷ = 1975891477841 is a prime.

It is a super-2 number, since 2×2113330431313² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2113330431323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056665215656 + 1056665215657.

It is an arithmetic number, because the mean of its divisors is an integer number (1056665215657).

Almost surely, 2^{2113330431313} is an apocalyptic number.

It is an amenable number.

2113330431313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2113330431313 is an equidigital number, since it uses as much as digits as its factorization.

2113330431313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 2113330431313 its reverse (3131340333112), we get a palindrome (5244670764425).

The spelling of 2113330431313 in words is "two trillion, one hundred thirteen billion, three hundred thirty million, four hundred thirty-one thousand, three hundred thirteen".