91820101323233 has 2 divisors, whose sum is σ = 91820101323234. Its totient is φ = 91820101323232.

The previous prime is 91820101323199. The next prime is 91820101323263. The reversal of 91820101323233 is 33232310102819.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54634094854144 + 37186006469089 = 7391488^2 + 6098033^2 .

It is an emirp because it is prime and its reverse (33232310102819) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 91820101323233 - 2⁸ = 91820101322977 is a prime.

It is not a weakly prime, because it can be changed into another prime (91820101323263) 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, 45910050661616 + 45910050661617.

It is an arithmetic number, because the mean of its divisors is an integer number (45910050661617).

Almost surely, 2^{91820101323233} is an apocalyptic number.

It is an amenable number.

91820101323233 is a deficient number, since it is larger than the sum of its proper divisors (1).

91820101323233 is an equidigital number, since it uses as much as digits as its factorization.

91820101323233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 91820101323233 in words is "ninety-one trillion, eight hundred twenty billion, one hundred one million, three hundred twenty-three thousand, two hundred thirty-three".