413083302131 has 8 divisors (see below), whose sum is σ = 423166959600. Its totient is φ = 403000047360.

The previous prime is 413083302089. The next prime is 413083302139. The reversal of 413083302131 is 131203380314.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 413083302131 - 2¹⁸ = 413083039987 is a prime.

It is a super-3 number, since 3×413083302131³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 413083302094 and 413083302103.

It is not an unprimeable number, because it can be changed into a prime (413083302139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3765860 + ... + 3873998.

It is an arithmetic number, because the mean of its divisors is an integer number (52895869950).

Almost surely, 2^413083302131 is an apocalyptic number.

413083302131 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

413083302131 is a deficient number, since it is larger than the sum of its proper divisors (10083657469).

413083302131 is a wasteful number, since it uses less digits than its factorization.

413083302131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201349.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 413083302131 its reverse (131203380314), we get a palindrome (544286682445).

The spelling of 413083302131 in words is "four hundred thirteen billion, eighty-three million, three hundred two thousand, one hundred thirty-one".