413310401300 has 18 divisors (see below), whose sum is σ = 896883571038. Its totient is φ = 165324160480.

The previous prime is 413310401269. The next prime is 413310401473. The reversal of 413310401300 is 3104013314.

It can be written as a sum of positive squares in 3 ways, for example, as 874148356 + 412436252944 = 29566^2 + 642212^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 5 ways as a sum of consecutive naturals, for example, 2066551907 + ... + 2066552106.

Almost surely, 2^413310401300 is an apocalyptic number.

It is an amenable number.

413310401300 is an abundant number, since it is smaller than the sum of its proper divisors (483573169738).

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

413310401300 is a wasteful number, since it uses less digits than its factorization.

413310401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4133104027 (or 4133104020 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 413310401300 its reverse (3104013314), we get a palindrome (416414414614).

The spelling of 413310401300 in words is "four hundred thirteen billion, three hundred ten million, four hundred one thousand, three hundred".