413013312003 has 16 divisors (see below), whose sum is σ = 579695616000. Its totient is φ = 260837998560.

The previous prime is 413013311989. The next prime is 413013312011. The reversal of 413013312003 is 300213310314.

It is not a de Polignac number, because 413013312003 - 2⁶ = 413013311939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413063312003) 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 15 ways as a sum of consecutive naturals, for example, 1106773 + ... + 1432121.

It is an arithmetic number, because the mean of its divisors is an integer number (36230976000).

Almost surely, 2^413013312003 is an apocalyptic number.

413013312003 is a deficient number, since it is larger than the sum of its proper divisors (166682303997).

413013312003 is a wasteful number, since it uses less digits than its factorization.

413013312003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347642.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 413013312003 its reverse (300213310314), we get a palindrome (713226622317).

The spelling of 413013312003 in words is "four hundred thirteen billion, thirteen million, three hundred twelve thousand, three".