413332441313 has 8 divisors (see below), whose sum is σ = 453780145920. Its totient is φ = 373363408080.

The previous prime is 413332441253. The next prime is 413332441343. The reversal of 413332441313 is 313144233314.

It is a happy number.

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 413332441313 - 2¹⁰ = 413332440289 is a prime.

It is a super-3 number, since 3×413332441313³ (a number of 36 digits) contains 333 as substring.

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 413332441313.

It is not an unprimeable number, because it can be changed into a prime (413332441343) 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, 119666033 + ... + 119669486.

It is an arithmetic number, because the mean of its divisors is an integer number (56722518240).

Almost surely, 2^413332441313 is an apocalyptic number.

It is an amenable number.

413332441313 is a deficient number, since it is larger than the sum of its proper divisors (40447704607).

413332441313 is a wasteful number, since it uses less digits than its factorization.

413332441313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239335687.

The product of its digits is 31104, while the sum is 32.

Adding to 413332441313 its reverse (313144233314), we get a palindrome (726476674627).

The spelling of 413332441313 in words is "four hundred thirteen billion, three hundred thirty-two million, four hundred forty-one thousand, three hundred thirteen".