413112311114211 has 16 divisors (see below), whose sum is σ = 615916444036000. Its totient is φ = 273654015002784.

The previous prime is 413112311114201. The next prime is 413112311114299. The reversal of 413112311114211 is 112411113211314.

413112311114211 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 1 + 231 + 1 + 1 + 1 + 421 + 1 = 666.

It is not a de Polignac number, because 413112311114211 - 2³⁸ = 412837433207267 is a prime.

It is a super-2 number, since 2×413112311114211² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413112311114201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48727562536 + ... + 48727571013.

It is an arithmetic number, because the mean of its divisors is an integer number (38494777752250).

Almost surely, 2^{413112311114211} is an apocalyptic number.

413112311114211 is a deficient number, since it is larger than the sum of its proper divisors (202804132921789).

413112311114211 is a wasteful number, since it uses less digits than its factorization.

413112311114211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97455133715 (or 97455133709 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

Adding to 413112311114211 its reverse (112411113211314), we get a palindrome (525523424325525).

The spelling of 413112311114211 in words is "four hundred thirteen trillion, one hundred twelve billion, three hundred eleven million, one hundred fourteen thousand, two hundred eleven".