3003313201020 has 192 divisors, whose sum is σ = 10196245140480. Its totient is φ = 727848633600.

The previous prime is 3003313201013. The next prime is 3003313201051. The reversal of 3003313201020 is 201023133003.

3003313201020 is a `hidden beast` number, since 3 + 0 + 0 + 331 + 320 + 10 + 2 + 0 = 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 = 3003313200984 and 3003313201002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19352454 + ... + 19507026.

It is an arithmetic number, because the mean of its divisors is an integer number (53105443440).

Almost surely, 2^{3003313201020} is an apocalyptic number.

3003313201020 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 3003313201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5098122570240).

3003313201020 is an abundant number, since it is smaller than the sum of its proper divisors (7192931939460).

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

3003313201020 is a wasteful number, since it uses less digits than its factorization.

3003313201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157873 (or 157865 counting only the distinct ones).

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

Adding to 3003313201020 its reverse (201023133003), we get a palindrome (3204336334023).

The spelling of 3003313201020 in words is "three trillion, three billion, three hundred thirteen million, two hundred one thousand, twenty".