413313303330 has 48 divisors (see below), whose sum is σ = 1085693112504. Its totient is φ = 109080622080.

The previous prime is 413313303313. The next prime is 413313303353. The reversal of 413313303330 is 33303313314.

413313303330 is a `hidden beast` number, since 4 + 13 + 3 + 13 + 303 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 357043295961 + 56270007369 = 597531^2 + 237213^2 .

It is a junction number, because it is equal to n+sod(n) for n = 413313303294 and 413313303303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23663281 + ... + 23680740.

Almost surely, 2^413313303330 is an apocalyptic number.

413313303330 is an abundant number, since it is smaller than the sum of its proper divisors (672379809174).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413313303330 is a wasteful number, since it uses less digits than its factorization.

413313303330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47344131 (or 47344128 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 413313303330 its reverse (33303313314), we get a palindrome (446616616644).

The spelling of 413313303330 in words is "four hundred thirteen billion, three hundred thirteen million, three hundred three thousand, three hundred thirty".