13000133011 has 2 divisors, whose sum is σ = 13000133012. Its totient is φ = 13000133010.

The previous prime is 13000133009. The next prime is 13000133023. The reversal of 13000133011 is 11033100031.

It is a happy number.

13000133011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is an emirp because it is prime and its reverse (11033100031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13000133011 - 2¹ = 13000133009 is a prime.

It is a super-2 number, since 2×13000133011² (a number of 21 digits) contains 22 as substring.

Together with 13000133009, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 13000132982 and 13000133000.

It is not a weakly prime, because it can be changed into another prime (13000433011) 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, 6500066505 + 6500066506.

It is an arithmetic number, because the mean of its divisors is an integer number (6500066506).

Almost surely, 2^13000133011 is an apocalyptic number.

13000133011 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000133011 is an equidigital number, since it uses as much as digits as its factorization.

13000133011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 13000133011 its reverse (11033100031), we get a palindrome (24033233042).

The spelling of 13000133011 in words is "thirteen billion, one hundred thirty-three thousand, eleven".