212900113 has 2 divisors, whose sum is σ = 212900114. Its totient is φ = 212900112.

The previous prime is 212900081. The next prime is 212900131. The reversal of 212900113 is 311009212.

Together with next prime (212900131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131033809 + 81866304 = 11447^2 + 9048^2 .

It is a cyclic number.

It is not a de Polignac number, because 212900113 - 2⁵ = 212900081 is a prime.

It is not a weakly prime, because it can be changed into another prime (212900153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106450056 + 106450057.

It is an arithmetic number, because the mean of its divisors is an integer number (106450057).

Almost surely, 2^212900113 is an apocalyptic number.

It is an amenable number.

212900113 is a deficient number, since it is larger than the sum of its proper divisors (1).

212900113 is an equidigital number, since it uses as much as digits as its factorization.

212900113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 212900113 is about 14591.0970458016. The cubic root of 212900113 is about 597.1158930173.

Adding to 212900113 its reverse (311009212), we get a palindrome (523909325).

The spelling of 212900113 in words is "two hundred twelve million, nine hundred thousand, one hundred thirteen".