2113330431337 has 2 divisors, whose sum is σ = 2113330431338. Its totient is φ = 2113330431336.

The previous prime is 2113330431323. The next prime is 2113330431349. The reversal of 2113330431337 is 7331340333112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1860179565456 + 253150865881 = 1363884^2 + 503141^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2113330431337 is a prime.

It is not a weakly prime, because it can be changed into another prime (2113330438337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056665215668 + 1056665215669.

It is an arithmetic number, because the mean of its divisors is an integer number (1056665215669).

Almost surely, 2^{2113330431337} is an apocalyptic number.

It is an amenable number.

2113330431337 is a deficient number, since it is larger than the sum of its proper divisors (1).

2113330431337 is an equidigital number, since it uses as much as digits as its factorization.

2113330431337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40824, while the sum is 34.

Adding to 2113330431337 its reverse (7331340333112), we get a palindrome (9444670764449).

The spelling of 2113330431337 in words is "two trillion, one hundred thirteen billion, three hundred thirty million, four hundred thirty-one thousand, three hundred thirty-seven".