22302132112193 has 2 divisors, whose sum is σ = 22302132112194. Its totient is φ = 22302132112192.

The previous prime is 22302132112133. The next prime is 22302132112217. The reversal of 22302132112193 is 39121123120322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13813026361744 + 8489105750449 = 3716588^2 + 2913607^2 .

It is a cyclic number.

It is not a de Polignac number, because 22302132112193 - 2¹⁰ = 22302132111169 is a prime.

It is not a weakly prime, because it can be changed into another prime (22302132112133) 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, 11151066056096 + 11151066056097.

It is an arithmetic number, because the mean of its divisors is an integer number (11151066056097).

Almost surely, 2^{22302132112193} is an apocalyptic number.

It is an amenable number.

22302132112193 is a deficient number, since it is larger than the sum of its proper divisors (1).

22302132112193 is an equidigital number, since it uses as much as digits as its factorization.

22302132112193 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 22302132112193 in words is "twenty-two trillion, three hundred two billion, one hundred thirty-two million, one hundred twelve thousand, one hundred ninety-three".