102133301303017 has 2 divisors, whose sum is σ = 102133301303018. Its totient is φ = 102133301303016.

The previous prime is 102133301302999. The next prime is 102133301303039. The reversal of 102133301303017 is 710303103331201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78081770559321 + 24051530743696 = 8836389^2 + 4904236^2 .

It is a cyclic number.

It is not a de Polignac number, because 102133301303017 - 2¹⁵ = 102133301270249 is a prime.

It is a super-2 number, since 2×102133301303017² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102133301303317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51066650651508 + 51066650651509.

It is an arithmetic number, because the mean of its divisors is an integer number (51066650651509).

Almost surely, 2^{102133301303017} is an apocalyptic number.

It is an amenable number.

102133301303017 is a deficient number, since it is larger than the sum of its proper divisors (1).

102133301303017 is an equidigital number, since it uses as much as digits as its factorization.

102133301303017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 28.

Adding to 102133301303017 its reverse (710303103331201), we get a palindrome (812436404634218).

The spelling of 102133301303017 in words is "one hundred two trillion, one hundred thirty-three billion, three hundred one million, three hundred three thousand, seventeen".