3133033200000 has 1152 divisors, whose sum is σ = 12504415603680. Its totient is φ = 746496000000.

The previous prime is 3133033199951. The next prime is 3133033200067. The reversal of 3133033200000 is 23303313.

3133033200000 is a `hidden beast` number, since 3 + 1 + 330 + 332 + 0 + 0 + 0 + 0 + 0 = 666.

3133033200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2415599352 + ... + 2415600648.

Almost surely, 2^{3133033200000} is an apocalyptic number.

3133033200000 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 3133033200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6252207801840).

3133033200000 is an abundant number, since it is smaller than the sum of its proper divisors (9371382403680).

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

3133033200000 is a wasteful number, since it uses less digits than its factorization.

3133033200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 3133033200000 its reverse (23303313), we get a palindrome (3133056503313).

The spelling of 3133033200000 in words is "three trillion, one hundred thirty-three billion, thirty-three million, two hundred thousand".