3311013012000 has 192 divisors, whose sum is σ = 10881108411264. Its totient is φ = 880150502400.

The previous prime is 3311013011959. The next prime is 3311013012001. The reversal of 3311013012000 is 2103101133.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3311013012001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3368799 + ... + 4239201.

It is an arithmetic number, because the mean of its divisors is an integer number (56672439642).

Almost surely, 2^{3311013012000} is an apocalyptic number.

3311013012000 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 3311013012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5440554205632).

3311013012000 is an abundant number, since it is smaller than the sum of its proper divisors (7570095399264).

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

3311013012000 is a wasteful number, since it uses less digits than its factorization.

3311013012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870748 (or 870730 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 3311013012000 its reverse (2103101133), we get a palindrome (3313116113133).

The spelling of 3311013012000 in words is "three trillion, three hundred eleven billion, thirteen million, twelve thousand".