213321413 has 2 divisors, whose sum is σ = 213321414. Its totient is φ = 213321412.

The previous prime is 213321349. The next prime is 213321421. The reversal of 213321413 is 314123312.

213321413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199430884 + 13890529 = 14122^2 + 3727^2 .

It is a cyclic number.

It is not a de Polignac number, because 213321413 - 2⁶ = 213321349 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213321463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106660706 + 106660707.

It is an arithmetic number, because the mean of its divisors is an integer number (106660707).

Almost surely, 2^213321413 is an apocalyptic number.

It is an amenable number.

213321413 is a deficient number, since it is larger than the sum of its proper divisors (1).

213321413 is an equidigital number, since it uses as much as digits as its factorization.

213321413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432, while the sum is 20.

The square root of 213321413 is about 14605.5267963877. The cubic root of 213321413 is about 597.5095035340.

Adding to 213321413 its reverse (314123312), we get a palindrome (527444725).

The spelling of 213321413 in words is "two hundred thirteen million, three hundred twenty-one thousand, four hundred thirteen".