11211300311161 has 2 divisors, whose sum is σ = 11211300311162. Its totient is φ = 11211300311160.

The previous prime is 11211300311153. The next prime is 11211300311257. The reversal of 11211300311161 is 16111300311211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10963012369936 + 248287941225 = 3311044^2 + 498285^2 .

It is a cyclic number.

It is not a de Polignac number, because 11211300311161 - 2³ = 11211300311153 is a prime.

It is a super-3 number, since 3×11211300311161³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (11211300311131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5605650155580 + 5605650155581.

It is an arithmetic number, because the mean of its divisors is an integer number (5605650155581).

Almost surely, 2^{11211300311161} is an apocalyptic number.

It is an amenable number.

11211300311161 is a deficient number, since it is larger than the sum of its proper divisors (1).

11211300311161 is an equidigital number, since it uses as much as digits as its factorization.

11211300311161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 22.

Adding to 11211300311161 its reverse (16111300311211), we get a palindrome (27322600622372).

The spelling of 11211300311161 in words is "eleven trillion, two hundred eleven billion, three hundred million, three hundred eleven thousand, one hundred sixty-one".