3313320000120 has 256 divisors, whose sum is σ = 11906576640000. Its totient is φ = 814721960448.

The previous prime is 3313320000119. The next prime is 3313320000139. The reversal of 3313320000120 is 210000233133.

3313320000120 is a `hidden beast` number, since 331 + 3 + 320 + 0 + 0 + 0 + 12 + 0 = 666.

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 = 3313320000093 and 3313320000102.

It is a congruent number.

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, 13171281 + ... + 13420479.

It is an arithmetic number, because the mean of its divisors is an integer number (46510065000).

Almost surely, 2^{3313320000120} is an apocalyptic number.

3313320000120 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 3313320000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5953288320000).

3313320000120 is an abundant number, since it is smaller than the sum of its proper divisors (8593256639880).

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

3313320000120 is a wasteful number, since it uses less digits than its factorization.

3313320000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250179 (or 250169 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3313320000120 its reverse (210000233133), we get a palindrome (3523320233253).

The spelling of 3313320000120 in words is "three trillion, three hundred thirteen billion, three hundred twenty million, one hundred twenty", and thus it is an aban number.