330312100313020 has 48 divisors (see below), whose sum is σ = 792751061108160. Its totient is φ = 113249574342144.

The previous prime is 330312100312867. The next prime is 330312100313021. The reversal of 330312100313020 is 20313001213033.

It is a super-2 number, since 2×330312100313020² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330312100312982 and 330312100313000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330312100313021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56284096 + ... + 61875064.

It is an arithmetic number, because the mean of its divisors is an integer number (16515647106420).

Almost surely, 2^{330312100313020} is an apocalyptic number.

It is an amenable number.

330312100313020 is an abundant number, since it is smaller than the sum of its proper divisors (462438960795140).

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

330312100313020 is a wasteful number, since it uses less digits than its factorization.

330312100313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6012982 (or 6012980 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 330312100313020 its reverse (20313001213033), we get a palindrome (350625101526053).

The spelling of 330312100313020 in words is "three hundred thirty trillion, three hundred twelve billion, one hundred million, three hundred thirteen thousand, twenty".