413002344213 has 40 divisors (see below), whose sum is σ = 627216773216. Its totient is φ = 270757015200.

The previous prime is 413002344199. The next prime is 413002344257. The reversal of 413002344213 is 312443200314.

413002344213 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 0 + 234 + 421 + 3 = 666.

It is not a de Polignac number, because 413002344213 - 2⁶ = 413002344149 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413002144213) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30088770 + ... + 30102492.

Almost surely, 2^413002344213 is an apocalyptic number.

It is an amenable number.

413002344213 is a deficient number, since it is larger than the sum of its proper divisors (214214429003).

413002344213 is a wasteful number, since it uses less digits than its factorization.

413002344213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19887 (or 19878 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 413002344213 its reverse (312443200314), we get a palindrome (725445544527).

The spelling of 413002344213 in words is "four hundred thirteen billion, two million, three hundred forty-four thousand, two hundred thirteen".