413044202100312 has 48 divisors (see below), whose sum is σ = 1119287380690440. Its totient is φ = 137604354546048.

The previous prime is 413044202100281. The next prime is 413044202100389. The reversal of 413044202100312 is 213001202440314.

413044202100312 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 44 + 202 + 100 + 312 = 666.

It is a super-2 number, since 2×413044202100312² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1604998653 + ... + 1605255980.

Almost surely, 2^{413044202100312} is an apocalyptic number.

It is an amenable number.

413044202100312 is an abundant number, since it is smaller than the sum of its proper divisors (706243178590128).

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

413044202100312 is a wasteful number, since it uses less digits than its factorization.

413044202100312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210256432 (or 3210256425 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 413044202100312 its reverse (213001202440314), we get a palindrome (626045404540626).

The spelling of 413044202100312 in words is "four hundred thirteen trillion, forty-four billion, two hundred two million, one hundred thousand, three hundred twelve".