2113221013 has 2 divisors, whose sum is σ = 2113221014. Its totient is φ = 2113221012.

The previous prime is 2113220971. The next prime is 2113221017. The reversal of 2113221013 is 3101223112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1994694244 + 118526769 = 44662^2 + 10887^2 .

It is a cyclic number.

It is not a de Polignac number, because 2113221013 - 2¹⁷ = 2113089941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2113221017) 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, 1056610506 + 1056610507.

It is an arithmetic number, because the mean of its divisors is an integer number (1056610507).

Almost surely, 2^2113221013 is an apocalyptic number.

It is an amenable number.

2113221013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2113221013 is an equidigital number, since it uses as much as digits as its factorization.

2113221013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2113221013 is about 45969.7836953797. The cubic root of 2113221013 is about 1283.2609344364.

Adding to 2113221013 its reverse (3101223112), we get a palindrome (5214444125).

The spelling of 2113221013 in words is "two billion, one hundred thirteen million, two hundred twenty-one thousand, thirteen".