3313331021000 has 1152 divisors, whose sum is σ = 10716325401600. Its totient is φ = 938006784000.

The previous prime is 3313331020999. The next prime is 3313331021051. The reversal of 3313331021000 is 1201333133.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 287 ways as a sum of consecutive naturals, for example, 11308296854 + ... + 11308297146.

It is an arithmetic number, because the mean of its divisors is an integer number (9302365800).

Almost surely, 2^{3313331021000} 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 3313331021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5358162700800).

3313331021000 is an abundant number, since it is smaller than the sum of its proper divisors (7402994380600).

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

3313331021000 is a wasteful number, since it uses less digits than its factorization.

3313331021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 3313331021000 its reverse (1201333133), we get a palindrome (3314532354133).

The spelling of 3313331021000 in words is "three trillion, three hundred thirteen billion, three hundred thirty-one million, twenty-one thousand".