413120313 has 12 divisors (see below), whose sum is σ = 597196288. Its totient is φ = 275198040.

The previous prime is 413120237. The next prime is 413120321. The reversal of 413120313 is 313021314.

413120313 is a `hidden beast` number, since 41 + 312 + 0 + 313 = 666.

It is not a de Polignac number, because 413120313 - 2¹⁶ = 413054777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413120413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5353 + ... + 29238.

Almost surely, 2^413120313 is an apocalyptic number.

It is an amenable number.

413120313 is a deficient number, since it is larger than the sum of its proper divisors (184075975).

413120313 is a wasteful number, since it uses less digits than its factorization.

413120313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35924 (or 35921 counting only the distinct ones).

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

The square root of 413120313 is about 20325.3613252016. The cubic root of 413120313 is about 744.7757311824.

Adding to 413120313 its reverse (313021314), we get a palindrome (726141627).

The spelling of 413120313 in words is "four hundred thirteen million, one hundred twenty thousand, three hundred thirteen".