3301021321312 has 192 divisors, whose sum is σ = 8224022016000. Its totient is φ = 1282087065600.

The previous prime is 3301021321211. The next prime is 3301021321327. The reversal of 3301021321312 is 2131231201033.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2756814 + ... + 3768562.

It is an arithmetic number, because the mean of its divisors is an integer number (42833448000).

Almost surely, 2^{3301021321312} is an apocalyptic number.

3301021321312 is a gapful number since it is divisible by the number (32) 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 3301021321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112011008000).

3301021321312 is an abundant number, since it is smaller than the sum of its proper divisors (4923000694688).

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

3301021321312 is a wasteful number, since it uses less digits than its factorization.

3301021321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011837 (or 1011829 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 3301021321312 its reverse (2131231201033), we get a palindrome (5432252522345).

The spelling of 3301021321312 in words is "three trillion, three hundred one billion, twenty-one million, three hundred twenty-one thousand, three hundred twelve".