413321333 has 2 divisors, whose sum is σ = 413321334. Its totient is φ = 413321332.

The previous prime is 413321327. The next prime is 413321347. The reversal of 413321333 is 333123314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 403126084 + 10195249 = 20078^2 + 3193^2 .

It is a cyclic number.

It is not a de Polignac number, because 413321333 - 2¹⁶ = 413255797 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413321299 and 413321308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413323333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206660666 + 206660667.

It is an arithmetic number, because the mean of its divisors is an integer number (206660667).

Almost surely, 2^413321333 is an apocalyptic number.

It is an amenable number.

413321333 is a deficient number, since it is larger than the sum of its proper divisors (1).

413321333 is an equidigital number, since it uses as much as digits as its factorization.

413321333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 23.

The square root of 413321333 is about 20330.3057773365. The cubic root of 413321333 is about 744.8965116073.

Adding to 413321333 its reverse (333123314), we get a palindrome (746444647).

The spelling of 413321333 in words is "four hundred thirteen million, three hundred twenty-one thousand, three hundred thirty-three".