413130213 has 40 divisors (see below), whose sum is σ = 633188160. Its totient is φ = 268349760.

The previous prime is 413130199. The next prime is 413130253. The reversal of 413130213 is 312031314.

It is not a de Polignac number, because 413130213 - 2⁵ = 413130181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413130253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 654408 + ... + 655038.

It is an arithmetic number, because the mean of its divisors is an integer number (15829704).

Almost surely, 2^413130213 is an apocalyptic number.

It is an amenable number.

413130213 is a deficient number, since it is larger than the sum of its proper divisors (220057947).

413130213 is a wasteful number, since it uses less digits than its factorization.

413130213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 830 counting only the distinct ones).

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

The square root of 413130213 is about 20325.6048618485. The cubic root of 413130213 is about 744.7816803943.

Adding to 413130213 its reverse (312031314), we get a palindrome (725161527).

The spelling of 413130213 in words is "four hundred thirteen million, one hundred thirty thousand, two hundred thirteen".