3213113333220 has 576 divisors, whose sum is σ = 11981486200320. Its totient is φ = 680278818816.

The previous prime is 3213113333219. The next prime is 3213113333251. The reversal of 3213113333220 is 223333113123.

3213113333220 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 1 + 1 + 333 + 322 + 0 = 666.

It is a super-2 number, since 2×3213113333220² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 817792216 + ... + 817796144.

It is an arithmetic number, because the mean of its divisors is an integer number (20801191320).

Almost surely, 2^{3213113333220} is an apocalyptic number.

3213113333220 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 3213113333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5990743100160).

3213113333220 is an abundant number, since it is smaller than the sum of its proper divisors (8768372867100).

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

3213113333220 is a wasteful number, since it uses less digits than its factorization.

3213113333220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4564 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 3213113333220 its reverse (223333113123), we get a palindrome (3436446446343).

The spelling of 3213113333220 in words is "three trillion, two hundred thirteen billion, one hundred thirteen million, three hundred thirty-three thousand, two hundred twenty".