413113330314311 has 32 divisors (see below), whose sum is σ = 458625250368000. Its totient is φ = 368994391920000.

The previous prime is 413113330314271. The next prime is 413113330314319. The reversal of 413113330314311 is 113413033311314.

It is not a de Polignac number, because 413113330314311 - 2³⁴ = 413096150445127 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413113330314319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81327641 + ... + 86257821.

It is an arithmetic number, because the mean of its divisors is an integer number (14332039074000).

Almost surely, 2^{413113330314311} is an apocalyptic number.

413113330314311 is a deficient number, since it is larger than the sum of its proper divisors (45511920053689).

413113330314311 is a wasteful number, since it uses less digits than its factorization.

413113330314311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930871.

The product of its (nonzero) digits is 11664, while the sum is 32.

Adding to 413113330314311 its reverse (113413033311314), we get a palindrome (526526363625625).

The spelling of 413113330314311 in words is "four hundred thirteen trillion, one hundred thirteen billion, three hundred thirty million, three hundred fourteen thousand, three hundred eleven".