2213312120137 has 2 divisors, whose sum is σ = 2213312120138. Its totient is φ = 2213312120136.

The previous prime is 2213312120113. The next prime is 2213312120143. The reversal of 2213312120137 is 7310212133122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1431238966336 + 782073153801 = 1196344^2 + 884349^2 .

It is a cyclic number.

It is not a de Polignac number, because 2213312120137 - 2¹¹ = 2213312118089 is a prime.

It is a super-2 number, since 2×2213312120137² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2213312120237) 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, 1106656060068 + 1106656060069.

It is an arithmetic number, because the mean of its divisors is an integer number (1106656060069).

Almost surely, 2^{2213312120137} is an apocalyptic number.

It is an amenable number.

2213312120137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213312120137 is an equidigital number, since it uses as much as digits as its factorization.

2213312120137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 28.

Adding to 2213312120137 its reverse (7310212133122), we get a palindrome (9523524253259).

The spelling of 2213312120137 in words is "two trillion, two hundred thirteen billion, three hundred twelve million, one hundred twenty thousand, one hundred thirty-seven".