13033133137 has 2 divisors, whose sum is σ = 13033133138. Its totient is φ = 13033133136.

The previous prime is 13033133051. The next prime is 13033133143. The reversal of 13033133137 is 73133133031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7156990801 + 5876142336 = 84599^2 + 76656^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13033133137 is a prime.

It is not a weakly prime, because it can be changed into another prime (13033133237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6516566568 + 6516566569.

It is an arithmetic number, because the mean of its divisors is an integer number (6516566569).

Almost surely, 2^13033133137 is an apocalyptic number.

It is an amenable number.

13033133137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13033133137 is an equidigital number, since it uses as much as digits as its factorization.

13033133137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5103, while the sum is 28.

Adding to 13033133137 its reverse (73133133031), we get a palindrome (86166266168).

The spelling of 13033133137 in words is "thirteen billion, thirty-three million, one hundred thirty-three thousand, one hundred thirty-seven".