413004032032213 has 4 divisors (see below), whose sum is σ = 413004235221580. Its totient is φ = 413003828842848.

The previous prime is 413004032032169. The next prime is 413004032032223. The reversal of 413004032032213 is 312230230400314.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 338642694649009 + 74361337383204 = 18402247^2 + 8623302^2 .

It is a cyclic number.

It is not a de Polignac number, because 413004032032213 - 2³⁷ = 412866593078741 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 (413004032032223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98514648 + ... + 102621361.

It is an arithmetic number, because the mean of its divisors is an integer number (103251058805395).

Almost surely, 2^{413004032032213} is an apocalyptic number.

It is an amenable number.

413004032032213 is a deficient number, since it is larger than the sum of its proper divisors (203189367).

413004032032213 is a wasteful number, since it uses less digits than its factorization.

413004032032213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203189366.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 413004032032213 its reverse (312230230400314), we get a palindrome (725234262432527).

The spelling of 413004032032213 in words is "four hundred thirteen trillion, four billion, thirty-two million, thirty-two thousand, two hundred thirteen".