212210100313 has 2 divisors, whose sum is σ = 212210100314. Its totient is φ = 212210100312.

The previous prime is 212210100259. The next prime is 212210100397. The reversal of 212210100313 is 313001012212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 135930841344 + 76279258969 = 368688^2 + 276187^2 .

It is a cyclic number.

It is not a de Polignac number, because 212210100313 - 2¹⁷ = 212209969241 is a prime.

It is not a weakly prime, because it can be changed into another prime (212210100413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106105050156 + 106105050157.

It is an arithmetic number, because the mean of its divisors is an integer number (106105050157).

Almost surely, 2^212210100313 is an apocalyptic number.

It is an amenable number.

212210100313 is a deficient number, since it is larger than the sum of its proper divisors (1).

212210100313 is an equidigital number, since it uses as much as digits as its factorization.

212210100313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 212210100313 its reverse (313001012212), we get a palindrome (525211112525).

The spelling of 212210100313 in words is "two hundred twelve billion, two hundred ten million, one hundred thousand, three hundred thirteen".