66011131206193 has 2 divisors, whose sum is σ = 66011131206194. Its totient is φ = 66011131206192.

The previous prime is 66011131206191. The next prime is 66011131206257. The reversal of 66011131206193 is 39160213111066.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61891136536464 + 4119994669729 = 7867092^2 + 2029777^2 .

It is a cyclic number.

It is not a de Polignac number, because 66011131206193 - 2¹ = 66011131206191 is a prime.

It is a super-2 number, since 2×66011131206193² (a number of 28 digits) contains 22 as substring.

Together with 66011131206191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (66011131206191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33005565603096 + 33005565603097.

It is an arithmetic number, because the mean of its divisors is an integer number (33005565603097).

Almost surely, 2^{66011131206193} is an apocalyptic number.

It is an amenable number.

66011131206193 is a deficient number, since it is larger than the sum of its proper divisors (1).

66011131206193 is an equidigital number, since it uses as much as digits as its factorization.

66011131206193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34992, while the sum is 40.

The spelling of 66011131206193 in words is "sixty-six trillion, eleven billion, one hundred thirty-one million, two hundred six thousand, one hundred ninety-three".