330313032131220 has 96 divisors (see below), whose sum is σ = 1088089988227200. Its totient is φ = 82902094336512.

The previous prime is 330313032131209. The next prime is 330313032131239. The reversal of 330313032131220 is 22131230313033.

330313032131220 is a `hidden beast` number, since 3 + 3 + 0 + 3 + 1 + 3 + 0 + 321 + 312 + 20 = 666.

It is a super-2 number, since 2×330313032131220² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17990896710 + ... + 17990915069.

It is an arithmetic number, because the mean of its divisors is an integer number (11334270710700).

Almost surely, 2^{330313032131220} is an apocalyptic number.

330313032131220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330313032131220 is an abundant number, since it is smaller than the sum of its proper divisors (757776956095980).

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

330313032131220 is a wasteful number, since it uses less digits than its factorization.

330313032131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35981811814 (or 35981811806 counting only the distinct ones).

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

Adding to 330313032131220 its reverse (22131230313033), we get a palindrome (352444262444253).

The spelling of 330313032131220 in words is "three hundred thirty trillion, three hundred thirteen billion, thirty-two million, one hundred thirty-one thousand, two hundred twenty".