212101123313 has 2 divisors, whose sum is σ = 212101123314. Its totient is φ = 212101123312.

The previous prime is 212101123307. The next prime is 212101123319. The reversal of 212101123313 is 313321101212.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (212101123307) and next prime (212101123319).

It can be written as a sum of positive squares in only one way, i.e., 211975526464 + 125596849 = 460408^2 + 11207^2 .

It is a cyclic number.

It is not a de Polignac number, because 212101123313 - 2⁶ = 212101123249 is a prime.

It is not a weakly prime, because it can be changed into another prime (212101123319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106050561656 + 106050561657.

It is an arithmetic number, because the mean of its divisors is an integer number (106050561657).

Almost surely, 2^212101123313 is an apocalyptic number.

It is an amenable number.

212101123313 is a deficient number, since it is larger than the sum of its proper divisors (1).

212101123313 is an equidigital number, since it uses as much as digits as its factorization.

212101123313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 212101123313 its reverse (313321101212), we get a palindrome (525422224525).

The spelling of 212101123313 in words is "two hundred twelve billion, one hundred one million, one hundred twenty-three thousand, three hundred thirteen".