2113330413221 has 2 divisors, whose sum is σ = 2113330413222. Its totient is φ = 2113330413220.

The previous prime is 2113330413193. The next prime is 2113330413241. The reversal of 2113330413221 is 1223140333112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1903740417121 + 209589996100 = 1379761^2 + 457810^2 .

It is a cyclic number.

It is not a de Polignac number, because 2113330413221 - 2⁶ = 2113330413157 is a prime.

It is a super-2 number, since 2×2113330413221² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2113330413241) 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, 1056665206610 + 1056665206611.

It is an arithmetic number, because the mean of its divisors is an integer number (1056665206611).

Almost surely, 2^{2113330413221} is an apocalyptic number.

It is an amenable number.

2113330413221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2113330413221 is an equidigital number, since it uses as much as digits as its factorization.

2113330413221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 2113330413221 its reverse (1223140333112), we get a palindrome (3336470746333).

The spelling of 2113330413221 in words is "two trillion, one hundred thirteen billion, three hundred thirty million, four hundred thirteen thousand, two hundred twenty-one".