33003313213312 has 64 divisors (see below), whose sum is σ = 70809831162000. Its totient is φ = 15231557505024.

The previous prime is 33003313213307. The next prime is 33003313213397. The reversal of 33003313213312 is 21331231330033.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 34500439 + ... + 35444137.

Almost surely, 2^{33003313213312} is an apocalyptic number.

33003313213312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33003313213312 is an abundant number, since it is smaller than the sum of its proper divisors (37806517948688).

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

33003313213312 is a wasteful number, since it uses less digits than its factorization.

33003313213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964743 (or 964731 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 33003313213312 its reverse (21331231330033), we get a palindrome (54334544543345).

The spelling of 33003313213312 in words is "thirty-three trillion, three billion, three hundred thirteen million, two hundred thirteen thousand, three hundred twelve".