2113413332221 has 2 divisors, whose sum is σ = 2113413332222. Its totient is φ = 2113413332220.

The previous prime is 2113413332161. The next prime is 2113413332243. The reversal of 2113413332221 is 1222333143112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1474740643321 + 638672688900 = 1214389^2 + 799170^2 .

It is a cyclic number.

It is not a de Polignac number, because 2113413332221 - 2²³ = 2113404943613 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2113413332221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2113413332021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056706666110 + 1056706666111.

It is an arithmetic number, because the mean of its divisors is an integer number (1056706666111).

Almost surely, 2^{2113413332221} is an apocalyptic number.

It is an amenable number.

2113413332221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2113413332221 is an equidigital number, since it uses as much as digits as its factorization.

2113413332221 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5184, while the sum is 28.

Adding to 2113413332221 its reverse (1222333143112), we get a palindrome (3335746475333).

The spelling of 2113413332221 in words is "two trillion, one hundred thirteen billion, four hundred thirteen million, three hundred thirty-two thousand, two hundred twenty-one".