33000213312000 has 480 divisors, whose sum is σ = 129666113051904. Its totient is φ = 8000050176000.

The previous prime is 33000213311999. The next prime is 33000213312007. The reversal of 33000213312000 is 21331200033.

33000213312000 is a `hidden beast` number, since 330 + 0 + 0 + 2 + 1 + 331 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (33000213312007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3731817 + ... + 8940183.

Almost surely, 2^{33000213312000} is an apocalyptic number.

33000213312000 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 33000213312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64833056525952).

33000213312000 is an abundant number, since it is smaller than the sum of its proper divisors (96665899739904).

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

33000213312000 is a wasteful number, since it uses less digits than its factorization.

33000213312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5208417 (or 5208388 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 33000213312000 its reverse (21331200033), we get a palindrome (33021544512033).

The spelling of 33000213312000 in words is "thirty-three trillion, two hundred thirteen million, three hundred twelve thousand".