413130132 has 42 divisors (see below), whose sum is σ = 1083978378. Its totient is φ = 137709072.

The previous prime is 413130127. The next prime is 413130161. The reversal of 413130132 is 231031314.

It can be written as a sum of positive squares in only one way, i.e., 264192516 + 148937616 = 16254^2 + 12204^2 .

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

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 67923 + ... + 73754.

It is an arithmetic number, because the mean of its divisors is an integer number (25809009).

Almost surely, 2^413130132 is an apocalyptic number.

It is an amenable number.

413130132 is an abundant number, since it is smaller than the sum of its proper divisors (670848246).

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

413130132 is a wasteful number, since it uses less digits than its factorization.

413130132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141699 (or 141682 counting only the distinct ones).

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

The square root of 413130132 is about 20325.6028692878. The cubic root of 413130132 is about 744.7816317193.

Adding to 413130132 its reverse (231031314), we get a palindrome (644161446).

The spelling of 413130132 in words is "four hundred thirteen million, one hundred thirty thousand, one hundred thirty-two".