330130313123220 has 36 divisors (see below), whose sum is σ = 1001395283140980. Its totient is φ = 88034750166144.

The previous prime is 330130313123203. The next prime is 330130313123249. The reversal of 330130313123220 is 22321313031033.

330130313123220 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 3 + 0 + 313 + 123 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47895756296976 + 282234556826244 = 6920676^2 + 16799838^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×330130313123220³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 917028647385 + ... + 917028647744.

It is an arithmetic number, because the mean of its divisors is an integer number (27816535642805).

Almost surely, 2^{330130313123220} is an apocalyptic number.

330130313123220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330130313123220 is an abundant number, since it is smaller than the sum of its proper divisors (671264970017760).

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

330130313123220 is a wasteful number, since it uses less digits than its factorization.

330130313123220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834057295144 (or 1834057295139 counting only the distinct ones).

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

Adding to 330130313123220 its reverse (22321313031033), we get a palindrome (352451626154253).

The spelling of 330130313123220 in words is "three hundred thirty trillion, one hundred thirty billion, three hundred thirteen million, one hundred twenty-three thousand, two hundred twenty".