3321320313000 has 384 divisors, whose sum is σ = 11028656321280. Its totient is φ = 830320691200.

The previous prime is 3321320312983. The next prime is 3321320313071. The reversal of 3321320313000 is 3130231233.

It is a super-2 number, since 2×3321320313000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3485120524 + ... + 3485121476.

It is an arithmetic number, because the mean of its divisors is an integer number (28720459170).

Almost surely, 2^{3321320313000} is an apocalyptic number.

3321320313000 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 3321320313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5514328160640).

3321320313000 is an abundant number, since it is smaller than the sum of its proper divisors (7707336008280).

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

3321320313000 is an equidigital number, since it uses as much as digits as its factorization.

3321320313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 3321320313000 its reverse (3130231233), we get a palindrome (3324450544233).

The spelling of 3321320313000 in words is "three trillion, three hundred twenty-one billion, three hundred twenty million, three hundred thirteen thousand".