20132101122193 has 2 divisors, whose sum is σ = 20132101122194. Its totient is φ = 20132101122192.

The previous prime is 20132101122151. The next prime is 20132101122223. The reversal of 20132101122193 is 39122110123102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19455968235664 + 676132886529 = 4410892^2 + 822273^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20132101122193 is a prime.

It is not a weakly prime, because it can be changed into another prime (20132101122493) 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, 10066050561096 + 10066050561097.

It is an arithmetic number, because the mean of its divisors is an integer number (10066050561097).

Almost surely, 2^{20132101122193} is an apocalyptic number.

It is an amenable number.

20132101122193 is a deficient number, since it is larger than the sum of its proper divisors (1).

20132101122193 is an equidigital number, since it uses as much as digits as its factorization.

20132101122193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 28.

Adding to 20132101122193 its reverse (39122110123102), we get a palindrome (59254211245295).

The spelling of 20132101122193 in words is "twenty trillion, one hundred thirty-two billion, one hundred one million, one hundred twenty-two thousand, one hundred ninety-three".