413334222213313 has 8 divisors (see below), whose sum is σ = 414761405020200. Its totient is φ = 411907151555328.

The previous prime is 413334222213281. The next prime is 413334222213323. The reversal of 413334222213313 is 313312222433314.

It can be written as a sum of positive squares in 4 ways, for example, as 137699616764304 + 275634605449009 = 11734548^2 + 16602247^2 .

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 413334222213313 - 2⁵ = 413334222213281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413334222213323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20649978 + ... + 35399011.

It is an arithmetic number, because the mean of its divisors is an integer number (51845175627525).

Almost surely, 2^{413334222213313} is an apocalyptic number.

It is an amenable number.

413334222213313 is a deficient number, since it is larger than the sum of its proper divisors (1427182806887).

413334222213313 is a wasteful number, since it uses less digits than its factorization.

413334222213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56074451.

The product of its digits is 186624, while the sum is 37.

Adding to 413334222213313 its reverse (313312222433314), we get a palindrome (726646444646627).

The spelling of 413334222213313 in words is "four hundred thirteen trillion, three hundred thirty-four billion, two hundred twenty-two million, two hundred thirteen thousand, three hundred thirteen".