2213120137 has 2 divisors, whose sum is σ = 2213120138. Its totient is φ = 2213120136.

The previous prime is 2213120089. The next prime is 2213120153. The reversal of 2213120137 is 7310213122.

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., 1510021881 + 703098256 = 38859^2 + 26516^2 .

It is a cyclic number.

It is not a de Polignac number, because 2213120137 - 2¹⁵ = 2213087369 is a prime.

It is not a weakly prime, because it can be changed into another prime (2213120167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106560068 + 1106560069.

It is an arithmetic number, because the mean of its divisors is an integer number (1106560069).

Almost surely, 2^2213120137 is an apocalyptic number.

It is an amenable number.

2213120137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213120137 is an equidigital number, since it uses as much as digits as its factorization.

2213120137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 2213120137 is about 47043.8108256548. The cubic root of 2213120137 is about 1303.1717693531.

Adding to 2213120137 its reverse (7310213122), we get a palindrome (9523333259).

The spelling of 2213120137 in words is "two billion, two hundred thirteen million, one hundred twenty thousand, one hundred thirty-seven".