13038815633 has 2 divisors, whose sum is σ = 13038815634. Its totient is φ = 13038815632.

The previous prime is 13038815597. The next prime is 13038815677. The reversal of 13038815633 is 33651883031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11735822224 + 1302993409 = 108332^2 + 36097^2 .

It is a cyclic number.

It is not a de Polignac number, because 13038815633 - 2²⁸ = 12770380177 is a prime.

It is a super-2 number, since 2×13038815633² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13038815693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6519407816 + 6519407817.

It is an arithmetic number, because the mean of its divisors is an integer number (6519407817).

Almost surely, 2^13038815633 is an apocalyptic number.

It is an amenable number.

13038815633 is a deficient number, since it is larger than the sum of its proper divisors (1).

13038815633 is an equidigital number, since it uses as much as digits as its factorization.

13038815633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 13038815633 in words is "thirteen billion, thirty-eight million, eight hundred fifteen thousand, six hundred thirty-three".