413033103 has 72 divisors (see below), whose sum is σ = 741806208. Its totient is φ = 220274208.

The previous prime is 413033087. The next prime is 413033111. The reversal of 413033103 is 301330314.

It is not a de Polignac number, because 413033103 - 2⁴ = 413033087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413033113) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 435676 + ... + 436622.

It is an arithmetic number, because the mean of its divisors is an integer number (10302864).

Almost surely, 2^413033103 is an apocalyptic number.

413033103 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

413033103 is a deficient number, since it is larger than the sum of its proper divisors (328773105).

413033103 is a wasteful number, since it uses less digits than its factorization.

413033103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 413033103 is about 20323.2158626532. The cubic root of 413033103 is about 744.7233199272.

Adding to 413033103 its reverse (301330314), we get a palindrome (714363417).

The spelling of 413033103 in words is "four hundred thirteen million, thirty-three thousand, one hundred three".