3301331312000 has 512 divisors, whose sum is σ = 8754706022400. Its totient is φ = 1235347660800.

The previous prime is 3301331311997. The next prime is 3301331312003. The reversal of 3301331312000 is 2131331033.

It is an interprime number because it is at equal distance from previous prime (3301331311997) and next prime (3301331312003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3301331312003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8315695802 + ... + 8315696198.

It is an arithmetic number, because the mean of its divisors is an integer number (17099035200).

Almost surely, 2^{3301331312000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3301331312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4377353011200).

3301331312000 is an abundant number, since it is smaller than the sum of its proper divisors (5453374710400).

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

3301331312000 is a wasteful number, since it uses less digits than its factorization.

3301331312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 3301331312000 its reverse (2131331033), we get a palindrome (3303462643033).

The spelling of 3301331312000 in words is "three trillion, three hundred one billion, three hundred thirty-one million, three hundred twelve thousand".