3221313000 has 256 divisors, whose sum is σ = 10784067840. Its totient is φ = 797696000.

The previous prime is 3221312987. The next prime is 3221313101. The reversal of 3221313000 is 3131223.

It is a super-3 number, since 3×3221313000³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4232620 + ... + 4233380.

It is an arithmetic number, because the mean of its divisors is an integer number (42125265).

Almost surely, 2^3221313000 is an apocalyptic number.

3221313000 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 3221313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392033920).

3221313000 is an abundant number, since it is smaller than the sum of its proper divisors (7562754840).

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

3221313000 is a wasteful number, since it uses less digits than its factorization.

3221313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3221313000 is about 56756.6119496222. The cubic root of 3221313000 is about 1476.8769364508.

Adding to 3221313000 its reverse (3131223), we get a palindrome (3224444223).

The spelling of 3221313000 in words is "three billion, two hundred twenty-one million, three hundred thirteen thousand".