3313323120 has 160 divisors (see below), whose sum is σ = 10905427008. Its totient is φ = 829292544.

The previous prime is 3313323077. The next prime is 3313323149. The reversal of 3313323120 is 213233133.

3313323120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3313323120² = 21956220195053068800, which 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 31 ways as a sum of consecutive naturals, for example, 1863672 + ... + 1865448.

Almost surely, 2^3313323120 is an apocalyptic number.

3313323120 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 3313323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5452713504).

3313323120 is an abundant number, since it is smaller than the sum of its proper divisors (7592103888).

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

3313323120 is a wasteful number, since it uses less digits than its factorization.

3313323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2261 counting only the distinct ones).

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

The square root of 3313323120 is about 57561.4725315467. The cubic root of 3313323120 is about 1490.8064520134.

Adding to 3313323120 its reverse (213233133), we get a palindrome (3526556253).

The spelling of 3313323120 in words is "three billion, three hundred thirteen million, three hundred twenty-three thousand, one hundred twenty".