11221321312961 has 2 divisors, whose sum is σ = 11221321312962. Its totient is φ = 11221321312960.

The previous prime is 11221321312937. The next prime is 11221321313087. The reversal of 11221321312961 is 16921312312211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8569817130625 + 2651504182336 = 2927425^2 + 1628344^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11221321312961 is a prime.

It is not a weakly prime, because it can be changed into another prime (11221329312961) 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, 5610660656480 + 5610660656481.

It is an arithmetic number, because the mean of its divisors is an integer number (5610660656481).

Almost surely, 2^{11221321312961} is an apocalyptic number.

It is an amenable number.

11221321312961 is a deficient number, since it is larger than the sum of its proper divisors (1).

11221321312961 is an equidigital number, since it uses as much as digits as its factorization.

11221321312961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 35.

The spelling of 11221321312961 in words is "eleven trillion, two hundred twenty-one billion, three hundred twenty-one million, three hundred twelve thousand, nine hundred sixty-one".