413131 has 4 divisors (see below), whose sum is σ = 416512. Its totient is φ = 409752.

The previous prime is 413129. The next prime is 413141. The reversal of 413131 is 131314.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 131314 = 2 ⋅65657.

It is a cyclic number.

It is not a de Polignac number, because 413131 - 2¹ = 413129 is a prime.

It is a super-2 number, since 2×413131² = 341354446322, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a 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 in 3 ways as a sum of consecutive naturals, for example, 1500 + ... + 1753.

It is an arithmetic number, because the mean of its divisors is an integer number (104128).

2⁴¹³¹³¹ is an apocalyptic number.

413131 is a deficient number, since it is larger than the sum of its proper divisors (3381).

413131 is a wasteful number, since it uses less digits than its factorization.

413131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380.

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

The square root of 413131 is about 642.7526740512. The cubic root of 413131 is about 74.4782153323.

Adding to 413131 its reverse (131314), we get a palindrome (544445).

It can be divided in two parts, 41313 and 1, that added together give a palindrome (41314).

The spelling of 413131 in words is "four hundred thirteen thousand, one hundred thirty-one".