2221331323193 has 2 divisors, whose sum is σ = 2221331323194. Its totient is φ = 2221331323192.

The previous prime is 2221331323177. The next prime is 2221331323219. The reversal of 2221331323193 is 3913231331222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1175309669689 + 1046021653504 = 1084117^2 + 1022752^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221331323193 - 2⁴ = 2221331323177 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221331323493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110665661596 + 1110665661597.

It is an arithmetic number, because the mean of its divisors is an integer number (1110665661597).

Almost surely, 2^{2221331323193} is an apocalyptic number.

It is an amenable number.

2221331323193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221331323193 is an equidigital number, since it uses as much as digits as its factorization.

2221331323193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34992, while the sum is 35.

The spelling of 2221331323193 in words is "two trillion, two hundred twenty-one billion, three hundred thirty-one million, three hundred twenty-three thousand, one hundred ninety-three".