413113 has 2 divisors, whose sum is σ = 413114. Its totient is φ = 413112.

The previous prime is 413111. The next prime is 413129. The reversal of 413113 is 311314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 399424 + 13689 = 632^2 + 117^2 .

It is a cyclic number.

It is not a de Polignac number, because 413113 - 2¹ = 413111 is a prime.

Together with 413111, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 413093 and 413102.

It is not a weakly prime, because it can be changed into another prime (413111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206556 + 206557.

It is an arithmetic number, because the mean of its divisors is an integer number (206557).

2⁴¹³¹¹³ is an apocalyptic number.

It is an amenable number.

413113 is a deficient number, since it is larger than the sum of its proper divisors (1).

413113 is an equidigital number, since it uses as much as digits as its factorization.

413113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36, while the sum is 13.

The square root of 413113 is about 642.7386716232. The cubic root of 413113 is about 74.4771336517.

Adding to 413113 its reverse (311314), we get a palindrome (724427).

It can be divided in two parts, 41311 and 3, that added together give a palindrome (41314).

The spelling of 413113 in words is "four hundred thirteen thousand, one hundred thirteen".