413322220233 has 32 divisors (see below), whose sum is σ = 662388679680. Its totient is φ = 253211495040.

The previous prime is 413322220231. The next prime is 413322220253. The reversal of 413322220233 is 332022223314.

413322220233 is a `hidden beast` number, since 413 + 3 + 2 + 2 + 220 + 23 + 3 = 666.

It is not a de Polignac number, because 413322220233 - 2¹ = 413322220231 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 413322220197 and 413322220206.

It is not an unprimeable number, because it can be changed into a prime (413322220231) 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 31 ways as a sum of consecutive naturals, for example, 2561988 + ... + 2718533.

It is an arithmetic number, because the mean of its divisors is an integer number (20699646240).

Almost surely, 2^413322220233 is an apocalyptic number.

It is an amenable number.

413322220233 is a deficient number, since it is larger than the sum of its proper divisors (249066459447).

413322220233 is a wasteful number, since it uses less digits than its factorization.

413322220233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5280766 (or 5280760 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 413322220233 its reverse (332022223314), we get a palindrome (745344443547).

The spelling of 413322220233 in words is "four hundred thirteen billion, three hundred twenty-two million, two hundred twenty thousand, two hundred thirty-three".