13742892197201 has 2 divisors, whose sum is σ = 13742892197202. Its totient is φ = 13742892197200.

The previous prime is 13742892197197. The next prime is 13742892197231. The reversal of 13742892197201 is 10279129824731.

13742892197201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7248936988225 + 6493955208976 = 2692385^2 + 2548324^2 .

It is a cyclic number.

It is not a de Polignac number, because 13742892197201 - 2² = 13742892197197 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 (13742892197231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6871446098600 + 6871446098601.

It is an arithmetic number, because the mean of its divisors is an integer number (6871446098601).

Almost surely, 2^{13742892197201} is an apocalyptic number.

It is an amenable number.

13742892197201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13742892197201 is an equidigital number, since it uses as much as digits as its factorization.

13742892197201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3048192, while the sum is 56.

The spelling of 13742892197201 in words is "thirteen trillion, seven hundred forty-two billion, eight hundred ninety-two million, one hundred ninety-seven thousand, two hundred one".