212321313 has 12 divisors (see below), whose sum is σ = 324726948. Its totient is φ = 133221120.

The previous prime is 212321309. The next prime is 212321323. The reversal of 212321313 is 313123212.

It can be written as a sum of positive squares in 2 ways, for example, as 98962704 + 113358609 = 9948^2 + 10647^2 .

It is not a de Polignac number, because 212321313 - 2² = 212321309 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (212321323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 693708 + ... + 694013.

It is an arithmetic number, because the mean of its divisors is an integer number (27060579).

Almost surely, 2^212321313 is an apocalyptic number.

It is an amenable number.

212321313 is a deficient number, since it is larger than the sum of its proper divisors (112405635).

212321313 is a wasteful number, since it uses less digits than its factorization.

212321313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387744 (or 1387741 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 212321313 is about 14571.2495346144. The cubic root of 212321313 is about 596.5742863681.

Adding to 212321313 its reverse (313123212), we get a palindrome (525444525).

It can be divided in two parts, 2123 and 21313, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 212321313 in words is "two hundred twelve million, three hundred twenty-one thousand, three hundred thirteen".