212210000101313 has 2 divisors, whose sum is σ = 212210000101314. Its totient is φ = 212210000101312.

The previous prime is 212210000101241. The next prime is 212210000101403. The reversal of 212210000101313 is 313101000012212.

212210000101313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212157635559424 + 52364541889 = 14565632^2 + 228833^2 .

It is a cyclic number.

It is not a de Polignac number, because 212210000101313 - 2¹⁰ = 212210000100289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212210000101291 and 212210000101300.

It is not a weakly prime, because it can be changed into another prime (212210000101613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106105000050656 + 106105000050657.

It is an arithmetic number, because the mean of its divisors is an integer number (106105000050657).

Almost surely, 2^{212210000101313} is an apocalyptic number.

It is an amenable number.

212210000101313 is a deficient number, since it is larger than the sum of its proper divisors (1).

212210000101313 is an equidigital number, since it uses as much as digits as its factorization.

212210000101313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 212210000101313 its reverse (313101000012212), we get a palindrome (525311000113525).

The spelling of 212210000101313 in words is "two hundred twelve trillion, two hundred ten billion, one hundred one thousand, three hundred thirteen".