3333133320000 has 1120 divisors, whose sum is σ = 12680497741824. Its totient is φ = 764544000000.

The previous prime is 3333133319959. The next prime is 3333133320007. The reversal of 3333133320000 is 233313333.

It is a happy number.

It is a super-2 number, since 2×3333133320000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3333133320007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3066359457 + ... + 3066360543.

Almost surely, 2^{3333133320000} is an apocalyptic number.

3333133320000 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 3333133320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6340248870912).

3333133320000 is an abundant number, since it is smaller than the sum of its proper divisors (9347364421824).

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

3333133320000 is a wasteful number, since it uses less digits than its factorization.

3333133320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 24.

Adding to 3333133320000 its reverse (233313333), we get a palindrome (3333366633333).

It can be divided in two parts, 3333 and 133320000, that multiplied together give a square (444355560000 = 666600²).

The spelling of 3333133320000 in words is "three trillion, three hundred thirty-three billion, one hundred thirty-three million, three hundred twenty thousand".