13766834780201 has 2 divisors, whose sum is σ = 13766834780202. Its totient is φ = 13766834780200.

The previous prime is 13766834780113. The next prime is 13766834780219. The reversal of 13766834780201 is 10208743866731.

It is a happy number.

13766834780201 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., 12512837947801 + 1253996832400 = 3537349^2 + 1119820^2 .

It is a cyclic number.

It is not a de Polignac number, because 13766834780201 - 2¹⁴ = 13766834763817 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13766834780291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6883417390100 + 6883417390101.

It is an arithmetic number, because the mean of its divisors is an integer number (6883417390101).

Almost surely, 2^{13766834780201} is an apocalyptic number.

It is an amenable number.

13766834780201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13766834780201 is an equidigital number, since it uses as much as digits as its factorization.

13766834780201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8128512, while the sum is 56.

The spelling of 13766834780201 in words is "thirteen trillion, seven hundred sixty-six billion, eight hundred thirty-four million, seven hundred eighty thousand, two hundred one".