3331322100000 has 576 divisors, whose sum is σ = 12189011103360. Its totient is φ = 885110400000.

The previous prime is 3331322099981. The next prime is 3331322100059. The reversal of 3331322100000 is 12231333.

3331322100000 is a `hidden beast` number, since 3 + 331 + 322 + 10 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×3331322100000² (a number of 26 digits) contains 22 as substring.

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

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, 791097895 + ... + 791102105.

It is an arithmetic number, because the mean of its divisors is an integer number (21161477610).

Almost surely, 2^{3331322100000} is an apocalyptic number.

3331322100000 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 3331322100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094505551680).

3331322100000 is an abundant number, since it is smaller than the sum of its proper divisors (8857689003360).

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

3331322100000 is an equidigital number, since it uses as much as digits as its factorization.

3331322100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4548 (or 4514 counting only the distinct ones).

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

Adding to 3331322100000 its reverse (12231333), we get a palindrome (3331334331333).

The spelling of 3331322100000 in words is "three trillion, three hundred thirty-one billion, three hundred twenty-two million, one hundred thousand".