3313132020 has 288 divisors, whose sum is σ = 11321856000. Its totient is φ = 777404160.

The previous prime is 3313132007. The next prime is 3313132021. The reversal of 3313132020 is 202313133.

3313132020 is a `hidden beast` number, since 331 + 313 + 2 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3313131984 and 3313132002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313132021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9228601 + ... + 9228959.

It is an arithmetic number, because the mean of its divisors is an integer number (39312000).

Almost surely, 2^3313132020 is an apocalyptic number.

3313132020 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 3313132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660928000).

3313132020 is an abundant number, since it is smaller than the sum of its proper divisors (8008723980).

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

3313132020 is a wasteful number, since it uses less digits than its factorization.

3313132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3313132020 is about 57559.8125431277. The cubic root of 3313132020 is about 1490.7777900950. Note that the first 4 decimals are identical.

Adding to 3313132020 its reverse (202313133), we get a palindrome (3515445153).

It can be divided in two parts, 331313 and 2020, that added together give a palindrome (333333).

The spelling of 3313132020 in words is "three billion, three hundred thirteen million, one hundred thirty-two thousand, twenty".