22300212312113 has 2 divisors, whose sum is σ = 22300212312114. Its totient is φ = 22300212312112.

The previous prime is 22300212312101. The next prime is 22300212312143. The reversal of 22300212312113 is 31121321200322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15269744153104 + 7030468159009 = 3907652^2 + 2651503^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22300212312113 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (22300212312143) 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, 11150106156056 + 11150106156057.

It is an arithmetic number, because the mean of its divisors is an integer number (11150106156057).

Almost surely, 2^{22300212312113} is an apocalyptic number.

It is an amenable number.

22300212312113 is a deficient number, since it is larger than the sum of its proper divisors (1).

22300212312113 is an equidigital number, since it uses as much as digits as its factorization.

22300212312113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 22300212312113 its reverse (31121321200322), we get a palindrome (53421533512435).

The spelling of 22300212312113 in words is "twenty-two trillion, three hundred billion, two hundred twelve million, three hundred twelve thousand, one hundred thirteen".