413043121213 has 16 divisors (see below), whose sum is σ = 438059999664. Its totient is φ = 388106675200.

The previous prime is 413043121199. The next prime is 413043121241. The reversal of 413043121213 is 312121340314.

It can be written as a sum of positive squares in 8 ways, for example, as 10322153604 + 402720967609 = 101598^2 + 634603^2 .

It is a cyclic number.

It is not a de Polignac number, because 413043121213 - 2²¹ = 413041024061 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 (413043121913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50140731 + ... + 50148967.

It is an arithmetic number, because the mean of its divisors is an integer number (27378749979).

Almost surely, 2^413043121213 is an apocalyptic number.

It is an amenable number.

413043121213 is a deficient number, since it is larger than the sum of its proper divisors (25016878451).

413043121213 is a wasteful number, since it uses less digits than its factorization.

413043121213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12752.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 413043121213 its reverse (312121340314), we get a palindrome (725164461527).

The spelling of 413043121213 in words is "four hundred thirteen billion, forty-three million, one hundred twenty-one thousand, two hundred thirteen".