413442220131 has 48 divisors (see below), whose sum is σ = 638177379840. Its totient is φ = 257161806720.

The previous prime is 413442220129. The next prime is 413442220133. The reversal of 413442220131 is 131022244314.

413442220131 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 422 + 201 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (413442220129) and next prime (413442220133).

It is not a de Polignac number, because 413442220131 - 2¹ = 413442220129 is a prime.

It is a super-2 number, since 2×413442220131² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413442220095 and 413442220104.

It is not an unprimeable number, because it can be changed into a prime (413442220133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11357946 + ... + 11394288.

It is an arithmetic number, because the mean of its divisors is an integer number (13295362080).

Almost surely, 2^413442220131 is an apocalyptic number.

413442220131 is a deficient number, since it is larger than the sum of its proper divisors (224735159709).

413442220131 is a wasteful number, since it uses less digits than its factorization.

413442220131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37376 (or 37373 counting only the distinct ones).

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

Adding to 413442220131 its reverse (131022244314), we get a palindrome (544464464445).

The spelling of 413442220131 in words is "four hundred thirteen billion, four hundred forty-two million, two hundred twenty thousand, one hundred thirty-one".