413004313011 has 16 divisors (see below), whose sum is σ = 556977751200. Its totient is φ = 272184853248.

The previous prime is 413004312997. The next prime is 413004313039. The reversal of 413004313011 is 110313400314.

It is not a de Polignac number, because 413004313011 - 2⁵ = 413004312979 is a prime.

It is a super-2 number, since 2×413004313011² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413004313061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1117165 + ... + 1440161.

It is an arithmetic number, because the mean of its divisors is an integer number (34811109450).

Almost surely, 2^413004313011 is an apocalyptic number.

413004313011 is a deficient number, since it is larger than the sum of its proper divisors (143973438189).

413004313011 is a wasteful number, since it uses less digits than its factorization.

413004313011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327878.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 413004313011 its reverse (110313400314), we get a palindrome (523317713325).

The spelling of 413004313011 in words is "four hundred thirteen billion, four million, three hundred thirteen thousand, eleven".