10133016224017 has 2 divisors, whose sum is σ = 10133016224018. Its totient is φ = 10133016224016.

The previous prime is 10133016224003. The next prime is 10133016224033. The reversal of 10133016224017 is 71042261033101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6285204434961 + 3847811789056 = 2507031^2 + 1961584^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10133016224017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10133016224017.

It is not a weakly prime, because it can be changed into another prime (10133016224047) 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, 5066508112008 + 5066508112009.

It is an arithmetic number, because the mean of its divisors is an integer number (5066508112009).

Almost surely, 2^{10133016224017} is an apocalyptic number.

It is an amenable number.

10133016224017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133016224017 is an equidigital number, since it uses as much as digits as its factorization.

10133016224017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 31.

Adding to 10133016224017 its reverse (71042261033101), we get a palindrome (81175277257118).

The spelling of 10133016224017 in words is "ten trillion, one hundred thirty-three billion, sixteen million, two hundred twenty-four thousand, seventeen".