413113213013 has 4 divisors (see below), whose sum is σ = 413136851820. Its totient is φ = 413089574208.

The previous prime is 413113212997. The next prime is 413113213021. The reversal of 413113213013 is 310312311314.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 38865362449 + 374247850564 = 197143^2 + 611758^2 .

It is a cyclic number.

It is not a de Polignac number, because 413113213013 - 2⁴ = 413113212997 is a prime.

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 413113213013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413113213033) 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 3 ways as a sum of consecutive naturals, for example, 11793170 + ... + 11828147.

It is an arithmetic number, because the mean of its divisors is an integer number (103284212955).

Almost surely, 2^413113213013 is an apocalyptic number.

It is an amenable number.

413113213013 is a deficient number, since it is larger than the sum of its proper divisors (23638807).

413113213013 is a wasteful number, since it uses less digits than its factorization.

413113213013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23638806.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 413113213013 its reverse (310312311314), we get a palindrome (723425524327).

The spelling of 413113213013 in words is "four hundred thirteen billion, one hundred thirteen million, two hundred thirteen thousand, thirteen".