11164066313 has 2 divisors, whose sum is σ = 11164066314. Its totient is φ = 11164066312.

The previous prime is 11164066271. The next prime is 11164066321. The reversal of 11164066313 is 31366046111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9205826809 + 1958239504 = 95947^2 + 44252^2 .

It is an emirp because it is prime and its reverse (31366046111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11164066313 - 2¹⁴ = 11164049929 is a prime.

It is a super-2 number, since 2×11164066313² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11164066313.

It is not a weakly prime, because it can be changed into another prime (11164066513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5582033156 + 5582033157.

It is an arithmetic number, because the mean of its divisors is an integer number (5582033157).

Almost surely, 2^11164066313 is an apocalyptic number.

It is an amenable number.

11164066313 is a deficient number, since it is larger than the sum of its proper divisors (1).

11164066313 is an equidigital number, since it uses as much as digits as its factorization.

11164066313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 11164066313 in words is "eleven billion, one hundred sixty-four million, sixty-six thousand, three hundred thirteen".