413004312221 has 16 divisors (see below), whose sum is σ = 441141807744. Its totient is φ = 385721818944.

The previous prime is 413004312209. The next prime is 413004312223. The reversal of 413004312221 is 122213400314.

It is a cyclic number.

It is not a de Polignac number, because 413004312221 - 2²² = 413000117917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413004312223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2732195 + ... + 2879391.

It is an arithmetic number, because the mean of its divisors is an integer number (27571362984).

Almost surely, 2^413004312221 is an apocalyptic number.

It is an amenable number.

413004312221 is a deficient number, since it is larger than the sum of its proper divisors (28137495523).

413004312221 is a wasteful number, since it uses less digits than its factorization.

413004312221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150100.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 413004312221 its reverse (122213400314), we get a palindrome (535217712535).

The spelling of 413004312221 in words is "four hundred thirteen billion, four million, three hundred twelve thousand, two hundred twenty-one".