413132031 has 48 divisors (see below), whose sum is σ = 668146752. Its totient is φ = 244339200.

The previous prime is 413131997. The next prime is 413132059. The reversal of 413132031 is 130231314.

It is not a de Polignac number, because 413132031 - 2⁶ = 413131967 is a prime.

It is a super-2 number, since 2×413132031² = 341356150076369922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413131995 and 413132013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413132431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339981 + ... + 341193.

It is an arithmetic number, because the mean of its divisors is an integer number (13919724).

Almost surely, 2^413132031 is an apocalyptic number.

413132031 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

413132031 is a deficient number, since it is larger than the sum of its proper divisors (255014721).

413132031 is a wasteful number, since it uses less digits than its factorization.

413132031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 413132031 is about 20325.6495837156. The cubic root of 413132031 is about 744.7827728756.

Adding to 413132031 its reverse (130231314), we get a palindrome (543363345).

The spelling of 413132031 in words is "four hundred thirteen million, one hundred thirty-two thousand, thirty-one".