213210313 has 2 divisors, whose sum is σ = 213210314. Its totient is φ = 213210312.

The previous prime is 213210289. The next prime is 213210323. The reversal of 213210313 is 313012312.

213210313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118984464 + 94225849 = 10908^2 + 9707^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213210313 is a prime.

It is not a weakly prime, because it can be changed into another prime (213210323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106605156 + 106605157.

It is an arithmetic number, because the mean of its divisors is an integer number (106605157).

Almost surely, 2^213210313 is an apocalyptic number.

It is an amenable number.

213210313 is a deficient number, since it is larger than the sum of its proper divisors (1).

213210313 is an equidigital number, since it uses as much as digits as its factorization.

213210313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 213210313 is about 14601.7229462827. The cubic root of 213210313 is about 597.4057558095.

Adding to 213210313 its reverse (313012312), we get a palindrome (526222625).

The spelling of 213210313 in words is "two hundred thirteen million, two hundred ten thousand, three hundred thirteen".