413004310020100 has 18 divisors (see below), whose sum is σ = 896219352743834. Its totient is φ = 165201724008000.

The previous prime is 413004310020047. The next prime is 413004310020121. The reversal of 413004310020100 is 1020013400314.

It can be written as a sum of positive squares in 3 ways, for example, as 91278457408576 + 321725852611524 = 9553976^2 + 17936718^2 .

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 5 ways as a sum of consecutive naturals, for example, 2065021550001 + ... + 2065021550200.

Almost surely, 2^{413004310020100} is an apocalyptic number.

It is an amenable number.

413004310020100 is an abundant number, since it is smaller than the sum of its proper divisors (483215042723734).

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

413004310020100 is a wasteful number, since it uses less digits than its factorization.

413004310020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130043100215 (or 4130043100208 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 413004310020100 its reverse (1020013400314), we get a palindrome (414024323420414).

The spelling of 413004310020100 in words is "four hundred thirteen trillion, four billion, three hundred ten million, twenty thousand, one hundred".