212100313 has 8 divisors (see below), whose sum is σ = 225416520. Its totient is φ = 198877440.

The previous prime is 212100307. The next prime is 212100337. The reversal of 212100313 is 313001212.

It can be written as a sum of positive squares in 4 ways, for example, as 26132544 + 185967769 = 5112^2 + 13637^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212100313 - 2⁵ = 212100281 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212100293 and 212100302.

It is not an unprimeable number, because it can be changed into a prime (212103313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18618 + ... + 27763.

It is an arithmetic number, because the mean of its divisors is an integer number (28177065).

Almost surely, 2^212100313 is an apocalyptic number.

It is an amenable number.

212100313 is a deficient number, since it is larger than the sum of its proper divisors (13316207).

212100313 is a wasteful number, since it uses less digits than its factorization.

212100313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46667.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 212100313 is about 14563.6641337268. The cubic root of 212100313 is about 596.3672280408.

Adding to 212100313 its reverse (313001212), we get a palindrome (525101525).

The spelling of 212100313 in words is "two hundred twelve million, one hundred thousand, three hundred thirteen".