211332313 has 2 divisors, whose sum is σ = 211332314. Its totient is φ = 211332312.

The previous prime is 211332311. The next prime is 211332343. The reversal of 211332313 is 313233112.

211332313 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., 112190464 + 99141849 = 10592^2 + 9957^2 .

It is a cyclic number.

It is not a de Polignac number, because 211332313 - 2¹ = 211332311 is a prime.

It is a super-2 number, since 2×211332313² = 89322693035859938, which contains 22 as substring.

Together with 211332311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (211332311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105666156 + 105666157.

It is an arithmetic number, because the mean of its divisors is an integer number (105666157).

Almost surely, 2^211332313 is an apocalyptic number.

It is an amenable number.

211332313 is a deficient number, since it is larger than the sum of its proper divisors (1).

211332313 is an equidigital number, since it uses as much as digits as its factorization.

211332313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 324, while the sum is 19.

The square root of 211332313 is about 14537.2732312494. The cubic root of 211332313 is about 595.6465565394.

Adding to 211332313 its reverse (313233112), we get a palindrome (524565425).

The spelling of 211332313 in words is "two hundred eleven million, three hundred thirty-two thousand, three hundred thirteen".