413142303143313 has 12 divisors (see below), whose sum is σ = 596875142656260. Its totient is φ = 275375569118976.

The previous prime is 413142303143189. The next prime is 413142303143347. The reversal of 413142303143313 is 313341303241314.

413142303143313 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 4 + 2 + 3 + 0 + 314 + 331 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 343016032158864 + 70126270984449 = 18520692^2 + 8374143^2 .

It is not a de Polignac number, because 413142303143313 - 2⁸ = 413142303143057 is a prime.

It is a super-2 number, since 2×413142303143313² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413142303193313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4386031668 + ... + 4386125861.

It is an arithmetic number, because the mean of its divisors is an integer number (49739595221355).

Almost surely, 2^{413142303143313} is an apocalyptic number.

It is an amenable number.

413142303143313 is a deficient number, since it is larger than the sum of its proper divisors (183732839512947).

413142303143313 is a wasteful number, since it uses less digits than its factorization.

413142303143313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8772162768 (or 8772162765 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 413142303143313 its reverse (313341303241314), we get a palindrome (726483606384627).

The spelling of 413142303143313 in words is "four hundred thirteen trillion, one hundred forty-two billion, three hundred three million, one hundred forty-three thousand, three hundred thirteen".