213301313 has 4 divisors (see below), whose sum is σ = 213331140. Its totient is φ = 213271488.

The previous prime is 213301307. The next prime is 213301331. The reversal of 213301313 is 313103312.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 180445489 + 32855824 = 13433^2 + 5732^2 .

It is a cyclic number.

It is not a de Polignac number, because 213301313 - 2²² = 209107009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213301291 and 213301300.

It is not an unprimeable number, because it can be changed into a prime (213301013) 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 3 ways as a sum of consecutive naturals, for example, 2933 + ... + 20861.

It is an arithmetic number, because the mean of its divisors is an integer number (53332785).

Almost surely, 2^213301313 is an apocalyptic number.

It is an amenable number.

213301313 is a deficient number, since it is larger than the sum of its proper divisors (29827).

213301313 is a wasteful number, since it uses less digits than its factorization.

213301313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29826.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 213301313 is about 14604.8386844908. The cubic root of 213301313 is about 597.4907363631.

Adding to 213301313 its reverse (313103312), we get a palindrome (526404625).

The spelling of 213301313 in words is "two hundred thirteen million, three hundred one thousand, three hundred thirteen".