413032420013 has 16 divisors (see below), whose sum is σ = 418894014000. Its totient is φ = 407212572672.

The previous prime is 413032419991. The next prime is 413032420063. The reversal of 413032420013 is 310024230314.

It can be written as a sum of positive squares in 8 ways, for example, as 14040591049 + 398991828964 = 118493^2 + 631658^2 .

It is a cyclic number.

It is not a de Polignac number, because 413032420013 - 2¹⁴ = 413032403629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413032420063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23209523 + ... + 23227311.

It is an arithmetic number, because the mean of its divisors is an integer number (26180875875).

Almost surely, 2^413032420013 is an apocalyptic number.

It is an amenable number.

413032420013 is a deficient number, since it is larger than the sum of its proper divisors (5861593987).

413032420013 is a wasteful number, since it uses less digits than its factorization.

413032420013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18944.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 413032420013 its reverse (310024230314), we get a palindrome (723056650327).

The spelling of 413032420013 in words is "four hundred thirteen billion, thirty-two million, four hundred twenty thousand, thirteen".