13138272011 has 2 divisors, whose sum is σ = 13138272012. Its totient is φ = 13138272010.

The previous prime is 13138271989. The next prime is 13138272013. The reversal of 13138272011 is 11027283131.

13138272011 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13138272011 is a prime.

It is a super-2 number, since 2×13138272011² (a number of 21 digits) contains 22 as substring.

Together with 13138272013, 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 (13138272013) 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, 6569136005 + 6569136006.

It is an arithmetic number, because the mean of its divisors is an integer number (6569136006).

Almost surely, 2^13138272011 is an apocalyptic number.

13138272011 is a deficient number, since it is larger than the sum of its proper divisors (1).

13138272011 is an equidigital number, since it uses as much as digits as its factorization.

13138272011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 29.

The spelling of 13138272011 in words is "thirteen billion, one hundred thirty-eight million, two hundred seventy-two thousand, eleven".