413100131420 has 96 divisors (see below), whose sum is σ = 916676006400. Its totient is φ = 155943201024.

The previous prime is 413100131407. The next prime is 413100131447. The reversal of 413100131420 is 24131001314.

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

It is a junction number, because it is equal to n+sod(n) for n = 413100131392 and 413100131401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134165441 + ... + 134168519.

It is an arithmetic number, because the mean of its divisors is an integer number (9548708400).

Almost surely, 2^413100131420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413100131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458338003200).

413100131420 is an abundant number, since it is smaller than the sum of its proper divisors (503575874980).

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

413100131420 is a wasteful number, since it uses less digits than its factorization.

413100131420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4347 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 413100131420 its reverse (24131001314), we get a palindrome (437231132734).

The spelling of 413100131420 in words is "four hundred thirteen billion, one hundred million, one hundred thirty-one thousand, four hundred twenty".