13211440337 has 2 divisors, whose sum is σ = 13211440338. Its totient is φ = 13211440336.

The previous prime is 13211440331. The next prime is 13211440339. The reversal of 13211440337 is 73304411231.

13211440337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10802692096 + 2408748241 = 103936^2 + 49079^2 .

It is a cyclic number.

It is not a de Polignac number, because 13211440337 - 2⁶ = 13211440273 is a prime.

It is a super-2 number, since 2×13211440337² (a number of 21 digits) contains 22 as substring.

Together with 13211440339, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13211440331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6605720168 + 6605720169.

It is an arithmetic number, because the mean of its divisors is an integer number (6605720169).

Almost surely, 2^13211440337 is an apocalyptic number.

It is an amenable number.

13211440337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13211440337 is an equidigital number, since it uses as much as digits as its factorization.

13211440337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 29.

Adding to 13211440337 its reverse (73304411231), we get a palindrome (86515851568).

The spelling of 13211440337 in words is "thirteen billion, two hundred eleven million, four hundred forty thousand, three hundred thirty-seven".