413321030310330 has 128 divisors (see below), whose sum is σ = 1151205012541440. Its totient is φ = 105326500910400.

The previous prime is 413321030310259. The next prime is 413321030310347. The reversal of 413321030310330 is 33013030123314.

413321030310330 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 2 + 10 + 3 + 0 + 310 + 330 = 666.

It is a super-2 number, since 2×413321030310330² (a number of 30 digits) contains 22 as substring.

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 = 413321030310294 and 413321030310303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25137102 + ... + 38190521.

It is an arithmetic number, because the mean of its divisors is an integer number (8993789160480).

Almost surely, 2^{413321030310330} is an apocalyptic number.

413321030310330 is an abundant number, since it is smaller than the sum of its proper divisors (737883982231110).

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

413321030310330 is a wasteful number, since it uses less digits than its factorization.

413321030310330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63328713 (or 63328707 counting only the distinct ones).

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

Adding to 413321030310330 its reverse (33013030123314), we get a palindrome (446334060433644).

The spelling of 413321030310330 in words is "four hundred thirteen trillion, three hundred twenty-one billion, thirty million, three hundred ten thousand, three hundred thirty".