3001331312000 has 512 divisors, whose sum is σ = 8676434257920. Its totient is φ = 1011225600000.

The previous prime is 3001331311969. The next prime is 3001331312033. The reversal of 3001331312000 is 2131331003.

It is a self number, because there is not a number n which added to its sum of digits gives 3001331312000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4540591670 + ... + 4540592330.

It is an arithmetic number, because the mean of its divisors is an integer number (16946160660).

Almost surely, 2^{3001331312000} 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 3001331312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4338217128960).

3001331312000 is an abundant number, since it is smaller than the sum of its proper divisors (5675102945920).

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

3001331312000 is an equidigital number, since it uses as much as digits as its factorization.

3001331312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 3001331312000 its reverse (2131331003), we get a palindrome (3003462643003).

The spelling of 3001331312000 in words is "three trillion, one billion, three hundred thirty-one million, three hundred twelve thousand".