213320413 has 2 divisors, whose sum is σ = 213320414. Its totient is φ = 213320412.

The previous prime is 213320347. The next prime is 213320441. The reversal of 213320413 is 314023312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 213072409 + 248004 = 14597^2 + 498^2 .

It is a cyclic number.

It is not a de Polignac number, because 213320413 - 2¹⁷ = 213189341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213320113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106660206 + 106660207.

It is an arithmetic number, because the mean of its divisors is an integer number (106660207).

Almost surely, 2^213320413 is an apocalyptic number.

It is an amenable number.

213320413 is a deficient number, since it is larger than the sum of its proper divisors (1).

213320413 is an equidigital number, since it uses as much as digits as its factorization.

213320413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 213320413 is about 14605.4925627313. The cubic root of 213320413 is about 597.5085698718.

Adding to 213320413 its reverse (314023312), we get a palindrome (527343725).

The spelling of 213320413 in words is "two hundred thirteen million, three hundred twenty thousand, four hundred thirteen".