413102011324513 has 24 divisors (see below), whose sum is σ = 492431943805704. Its totient is φ = 345336042240000.

The previous prime is 413102011324501. The next prime is 413102011324529. The reversal of 413102011324513 is 315423110201314.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1510915431249 + 411591095893264 = 1229193^2 + 20287708^2 .

It is a de Polignac number, because none of the positive numbers 2^k-413102011324513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413102011324573) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28230520 + ... + 40288537.

It is an arithmetic number, because the mean of its divisors is an integer number (20517997658571).

Almost surely, 2^{413102011324513} is an apocalyptic number.

It is an amenable number.

413102011324513 is a deficient number, since it is larger than the sum of its proper divisors (79329932481191).

413102011324513 is a wasteful number, since it uses less digits than its factorization.

413102011324513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68522113 (or 68522106 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 413102011324513 its reverse (315423110201314), we get a palindrome (728525121525827).

The spelling of 413102011324513 in words is "four hundred thirteen trillion, one hundred two billion, eleven million, three hundred twenty-four thousand, five hundred thirteen".