13300133137 has 2 divisors, whose sum is σ = 13300133138. Its totient is φ = 13300133136.

The previous prime is 13300133089. The next prime is 13300133159. The reversal of 13300133137 is 73133100331.

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., 8183735296 + 5116397841 = 90464^2 + 71529^2 .

It is an emirp because it is prime and its reverse (73133100331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13300133137 - 2⁷ = 13300133009 is a prime.

It is not a weakly prime, because it can be changed into another prime (13300133237) 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, 6650066568 + 6650066569.

It is an arithmetic number, because the mean of its divisors is an integer number (6650066569).

Almost surely, 2^13300133137 is an apocalyptic number.

It is an amenable number.

13300133137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13300133137 is an equidigital number, since it uses as much as digits as its factorization.

13300133137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1701, while the sum is 25.

Adding to 13300133137 its reverse (73133100331), we get a palindrome (86433233468).

The spelling of 13300133137 in words is "thirteen billion, three hundred million, one hundred thirty-three thousand, one hundred thirty-seven".