3312013320000 has 1120 divisors, whose sum is σ = 15169612170240. Its totient is φ = 688193280000.

The previous prime is 3312013319987. The next prime is 3312013320029. The reversal of 3312013320000 is 233102133.

3312013320000 is a `hidden beast` number, since 331 + 2 + 0 + 1 + 332 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-3 number, since 3×3312013320000³ (a number of 39 digits) contains 333 as substring.

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 159 ways as a sum of consecutive naturals, for example, 83140087 + ... + 83179913.

Almost surely, 2^{3312013320000} is an apocalyptic number.

3312013320000 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 3312013320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7584806085120).

3312013320000 is an abundant number, since it is smaller than the sum of its proper divisors (11857598850240).

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

3312013320000 is a wasteful number, since it uses less digits than its factorization.

3312013320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39886 (or 39855 counting only the distinct ones).

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

Adding to 3312013320000 its reverse (233102133), we get a palindrome (3312246422133).

The spelling of 3312013320000 in words is "three trillion, three hundred twelve billion, thirteen million, three hundred twenty thousand".