413301455013213 has 12 divisors (see below), whose sum is σ = 642913374465180. Its totient is φ = 254339356931136.

The previous prime is 413301455013163. The next prime is 413301455013233. The reversal of 413301455013213 is 312310554103314.

413301455013213 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 0 + 145 + 501 + 3 + 2 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 213919232456484 + 199382222556729 = 14625978^2 + 14120277^2 .

It is not a de Polignac number, because 413301455013213 - 2¹⁰ = 413301455012189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413301455013233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1766245534128 + ... + 1766245534361.

It is an arithmetic number, because the mean of its divisors is an integer number (53576114538765).

Almost surely, 2^{413301455013213} is an apocalyptic number.

It is an amenable number.

413301455013213 is a deficient number, since it is larger than the sum of its proper divisors (229611919451967).

413301455013213 is a wasteful number, since it uses less digits than its factorization.

413301455013213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532491068508 (or 3532491068505 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 413301455013213 in words is "four hundred thirteen trillion, three hundred one billion, four hundred fifty-five million, thirteen thousand, two hundred thirteen".