413304442313 has 6 divisors (see below), whose sum is σ = 480782718666. Its totient is φ = 354260950512.

The previous prime is 413304442307. The next prime is 413304442337. The reversal of 413304442313 is 313244403314.

It can be written as a sum of positive squares in only one way, i.e., 247677419584 + 165627022729 = 497672^2 + 406973^2 .

It is not a de Polignac number, because 413304442313 - 2¹⁶ = 413304376777 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 413304442313.

It is not an unprimeable number, because it can be changed into a prime (413304442363) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4217392220 + ... + 4217392317.

It is an arithmetic number, because the mean of its divisors is an integer number (80130453111).

Almost surely, 2^413304442313 is an apocalyptic number.

It is an amenable number.

413304442313 is a deficient number, since it is larger than the sum of its proper divisors (67478276353).

413304442313 is an equidigital number, since it uses as much as digits as its factorization.

413304442313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8434784551 (or 8434784544 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 413304442313 its reverse (313244403314), we get a palindrome (726548845627).

The spelling of 413304442313 in words is "four hundred thirteen billion, three hundred four million, four hundred forty-two thousand, three hundred thirteen".