331310012220 has 288 divisors, whose sum is σ = 1183454737920. Its totient is φ = 74176058880.

The previous prime is 331310012207. The next prime is 331310012261. The reversal of 331310012220 is 22210013133.

331310012220 is a `hidden beast` number, since 331 + 3 + 100 + 12 + 220 = 666.

It is a super-3 number, since 3×331310012220³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 331310012193 and 331310012202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1195227 + ... + 1446093.

It is an arithmetic number, because the mean of its divisors is an integer number (4109217840).

Almost surely, 2^331310012220 is an apocalyptic number.

331310012220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331310012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591727368960).

331310012220 is an abundant number, since it is smaller than the sum of its proper divisors (852144725700).

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

331310012220 is a wasteful number, since it uses less digits than its factorization.

331310012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250945 (or 250940 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 331310012220 its reverse (22210013133), we get a palindrome (353520025353).

The spelling of 331310012220 in words is "three hundred thirty-one billion, three hundred ten million, twelve thousand, two hundred twenty".