13006636033 has 2 divisors, whose sum is σ = 13006636034. Its totient is φ = 13006636032.

The previous prime is 13006635997. The next prime is 13006636037. The reversal of 13006636033 is 33063660031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6627099649 + 6379536384 = 81407^2 + 79872^2 .

It is a cyclic number.

It is not a de Polignac number, because 13006636033 - 2¹⁷ = 13006504961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13006635986 and 13006636004.

It is not a weakly prime, because it can be changed into another prime (13006636037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6503318016 + 6503318017.

It is an arithmetic number, because the mean of its divisors is an integer number (6503318017).

Almost surely, 2^13006636033 is an apocalyptic number.

It is an amenable number.

13006636033 is a deficient number, since it is larger than the sum of its proper divisors (1).

13006636033 is an equidigital number, since it uses as much as digits as its factorization.

13006636033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17496, while the sum is 31.

The spelling of 13006636033 in words is "thirteen billion, six million, six hundred thirty-six thousand, thirty-three".