11006640112301 has 2 divisors, whose sum is σ = 11006640112302. Its totient is φ = 11006640112300.

The previous prime is 11006640112289. The next prime is 11006640112309. The reversal of 11006640112301 is 10321104660011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10402553639401 + 604086472900 = 3225299^2 + 777230^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11006640112301 is a prime.

It is a super-2 number, since 2×11006640112301² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11006640112309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5503320056150 + 5503320056151.

It is an arithmetic number, because the mean of its divisors is an integer number (5503320056151).

Almost surely, 2^{11006640112301} is an apocalyptic number.

It is an amenable number.

11006640112301 is a deficient number, since it is larger than the sum of its proper divisors (1).

11006640112301 is an equidigital number, since it uses as much as digits as its factorization.

11006640112301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 11006640112301 its reverse (10321104660011), we get a palindrome (21327744772312).

The spelling of 11006640112301 in words is "eleven trillion, six billion, six hundred forty million, one hundred twelve thousand, three hundred one".