13321030100177 has 2 divisors, whose sum is σ = 13321030100178. Its totient is φ = 13321030100176.

The previous prime is 13321030100159. The next prime is 13321030100237. The reversal of 13321030100177 is 77100103012331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13217870938321 + 103159161856 = 3635639^2 + 321184^2 .

It is a cyclic number.

It is not a de Polignac number, because 13321030100177 - 2¹⁸ = 13321029838033 is a prime.

It is not a weakly prime, because it can be changed into another prime (13321030103177) 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, 6660515050088 + 6660515050089.

It is an arithmetic number, because the mean of its divisors is an integer number (6660515050089).

Almost surely, 2^{13321030100177} is an apocalyptic number.

It is an amenable number.

13321030100177 is a deficient number, since it is larger than the sum of its proper divisors (1).

13321030100177 is an equidigital number, since it uses as much as digits as its factorization.

13321030100177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 29.

The spelling of 13321030100177 in words is "thirteen trillion, three hundred twenty-one billion, thirty million, one hundred thousand, one hundred seventy-seven".