3313013132220 has 576 divisors, whose sum is σ = 10576208143872. Its totient is φ = 773929728000.

The previous prime is 3313013132173. The next prime is 3313013132239. The reversal of 3313013132220 is 222313103133.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6334632879 + ... + 6334633401.

It is an arithmetic number, because the mean of its divisors is an integer number (18361472472).

Almost surely, 2^{3313013132220} is an apocalyptic number.

3313013132220 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 3313013132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5288104071936).

3313013132220 is an abundant number, since it is smaller than the sum of its proper divisors (7263195011652).

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

3313013132220 is a wasteful number, since it uses less digits than its factorization.

3313013132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 3313013132220 its reverse (222313103133), we get a palindrome (3535326235353).

The spelling of 3313013132220 in words is "three trillion, three hundred thirteen billion, thirteen million, one hundred thirty-two thousand, two hundred twenty".