413303133321 has 24 divisors (see below), whose sum is σ = 643158439560. Its totient is φ = 254244473856.

The previous prime is 413303133283. The next prime is 413303133413. The reversal of 413303133321 is 123331303314.

413303133321 is a `hidden beast` number, since 4 + 1 + 3 + 303 + 1 + 33 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 154767494025 + 258535639296 = 393405^2 + 508464^2 .

It is not a de Polignac number, because 413303133321 - 2⁷ = 413303133193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413303133821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353886 + ... + 975623.

It is an arithmetic number, because the mean of its divisors is an integer number (26798268315).

Almost surely, 2^413303133321 is an apocalyptic number.

It is an amenable number.

413303133321 is a deficient number, since it is larger than the sum of its proper divisors (229855306239).

413303133321 is a wasteful number, since it uses less digits than its factorization.

413303133321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332185 (or 1332182 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 413303133321 its reverse (123331303314), we get a palindrome (536634436635).

The spelling of 413303133321 in words is "four hundred thirteen billion, three hundred three million, one hundred thirty-three thousand, three hundred twenty-one".