413131032 has 48 divisors (see below), whose sum is σ = 1127463480. Its totient is φ = 136656000.

The previous prime is 413131031. The next prime is 413131073. The reversal of 413131032 is 230131314.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 413130996 and 413131014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413131031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12469 + ... + 31332.

Almost surely, 2^413131032 is an apocalyptic number.

It is an amenable number.

413131032 is an abundant number, since it is smaller than the sum of its proper divisors (714332448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413131032 is a wasteful number, since it uses less digits than its factorization.

413131032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43944 (or 43937 counting only the distinct ones).

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

The square root of 413131032 is about 20325.6250088404. The cubic root of 413131032 is about 744.7821725522.

Adding to 413131032 its reverse (230131314), we get a palindrome (643262346).

The spelling of 413131032 in words is "four hundred thirteen million, one hundred thirty-one thousand, thirty-two".