3003313012020 has 60 divisors (see below), whose sum is σ = 9421504157604. Its totient is φ = 800883469440.

The previous prime is 3003313012003. The next prime is 3003313012027. The reversal of 3003313012020 is 202103133003.

3003313012020 is a `hidden beast` number, since 30 + 0 + 331 + 301 + 2 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1674674104464 + 1328638907556 = 1294092^2 + 1152666^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 3003313011984 and 3003313012002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3003313012027) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 926946841 + ... + 926950080.

Almost surely, 2^{3003313012020} is an apocalyptic number.

3003313012020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3003313012020 is an abundant number, since it is smaller than the sum of its proper divisors (6418191145584).

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

3003313012020 is a wasteful number, since it uses less digits than its factorization.

3003313012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853896942 (or 1853896931 counting only the distinct ones).

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

Adding to 3003313012020 its reverse (202103133003), we get a palindrome (3205416145023).

The spelling of 3003313012020 in words is "three trillion, three billion, three hundred thirteen million, twelve thousand, twenty".