13166633400097 has 2 divisors, whose sum is σ = 13166633400098. Its totient is φ = 13166633400096.

The previous prime is 13166633400029. The next prime is 13166633400103. The reversal of 13166633400097 is 79000433666131.

13166633400097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7339932611361 + 5826700788736 = 2709231^2 + 2413856^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13166633400097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13166633400097.

It is not a weakly prime, because it can be changed into another prime (13166633400007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6583316700048 + 6583316700049.

It is an arithmetic number, because the mean of its divisors is an integer number (6583316700049).

Almost surely, 2^{13166633400097} is an apocalyptic number.

It is an amenable number.

13166633400097 is a deficient number, since it is larger than the sum of its proper divisors (1).

13166633400097 is an equidigital number, since it uses as much as digits as its factorization.

13166633400097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1469664, while the sum is 49.

The spelling of 13166633400097 in words is "thirteen trillion, one hundred sixty-six billion, six hundred thirty-three million, four hundred thousand, ninety-seven".