13133045137 has 2 divisors, whose sum is σ = 13133045138. Its totient is φ = 13133045136.

The previous prime is 13133045131. The next prime is 13133045141. The reversal of 13133045137 is 73154033131.

It is a happy number.

13133045137 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., 10882871041 + 2250174096 = 104321^2 + 47436^2 .

It is a cyclic number.

It is not a de Polignac number, because 13133045137 - 2²³ = 13124656529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13133045099 and 13133045108.

It is not a weakly prime, because it can be changed into another prime (13133045131) 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, 6566522568 + 6566522569.

It is an arithmetic number, because the mean of its divisors is an integer number (6566522569).

Almost surely, 2^13133045137 is an apocalyptic number.

It is an amenable number.

13133045137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133045137 is an equidigital number, since it uses as much as digits as its factorization.

13133045137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 31.

Adding to 13133045137 its reverse (73154033131), we get a palindrome (86287078268).

The spelling of 13133045137 in words is "thirteen billion, one hundred thirty-three million, forty-five thousand, one hundred thirty-seven".