413310313 has 8 divisors (see below), whose sum is σ = 457133768. Its totient is φ = 371205504.

The previous prime is 413310311. The next prime is 413310323. The reversal of 413310313 is 313013314.

It can be written as a sum of positive squares in 4 ways, for example, as 80138304 + 333172009 = 8952^2 + 18253^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 413310313 - 2¹ = 413310311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413310311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 429156 + ... + 430117.

It is an arithmetic number, because the mean of its divisors is an integer number (57141721).

Almost surely, 2^413310313 is an apocalyptic number.

It is an amenable number.

413310313 is a deficient number, since it is larger than the sum of its proper divisors (43823455).

413310313 is a wasteful number, since it uses less digits than its factorization.

413310313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859323.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 413310313 is about 20330.0347515689. The cubic root of 413310313 is about 744.8898913889.

Adding to 413310313 its reverse (313013314), we get a palindrome (726323627).

The spelling of 413310313 in words is "four hundred thirteen million, three hundred ten thousand, three hundred thirteen".