33013312000 has 160 divisors (see below), whose sum is σ = 83560276800. Its totient is φ = 13006540800.

The previous prime is 33013311997. The next prime is 33013312021. The reversal of 33013312000 is 21331033.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 15 ways as a sum of consecutive naturals, for example, 4284151 + ... + 4291849.

It is an arithmetic number, because the mean of its divisors is an integer number (522251730).

Almost surely, 2^33013312000 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 33013312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41780138400).

33013312000 is an abundant number, since it is smaller than the sum of its proper divisors (50546964800).

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

33013312000 is an frugal number, since it uses more digits than its factorization.

33013312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7799 (or 7773 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 33013312000 its reverse (21331033), we get a palindrome (33034643033).

The spelling of 33013312000 in words is "thirty-three billion, thirteen million, three hundred twelve thousand".