212033300310113 has 2 divisors, whose sum is σ = 212033300310114. Its totient is φ = 212033300310112.

The previous prime is 212033300310109. The next prime is 212033300310191. The reversal of 212033300310113 is 311013003330212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 141726953537569 + 70306346772544 = 11904913^2 + 8384888^2 .

It is a cyclic number.

It is not a de Polignac number, because 212033300310113 - 2² = 212033300310109 is a prime.

It is not a weakly prime, because it can be changed into another prime (212033300316113) 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, 106016650155056 + 106016650155057.

It is an arithmetic number, because the mean of its divisors is an integer number (106016650155057).

Almost surely, 2^{212033300310113} is an apocalyptic number.

It is an amenable number.

212033300310113 is a deficient number, since it is larger than the sum of its proper divisors (1).

212033300310113 is an equidigital number, since it uses as much as digits as its factorization.

212033300310113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 212033300310113 its reverse (311013003330212), we get a palindrome (523046303640325).

The spelling of 212033300310113 in words is "two hundred twelve trillion, thirty-three billion, three hundred million, three hundred ten thousand, one hundred thirteen".