3312003013020 has 384 divisors, whose sum is σ = 11148103680000. Its totient is φ = 811489674240.

The previous prime is 3312003012973. The next prime is 3312003013027. The reversal of 3312003013020 is 203103002133.

3312003013020 is a `hidden beast` number, since 3 + 312 + 0 + 0 + 301 + 30 + 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 = 3312003012984 and 3312003013002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3312003013027) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2251530885 + ... + 2251532355.

It is an arithmetic number, because the mean of its divisors is an integer number (29031520000).

Almost surely, 2^{3312003013020} is an apocalyptic number.

3312003013020 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 3312003013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5574051840000).

3312003013020 is an abundant number, since it is smaller than the sum of its proper divisors (7836100666980).

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

3312003013020 is a wasteful number, since it uses less digits than its factorization.

3312003013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2762 counting only the distinct ones).

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

Adding to 3312003013020 its reverse (203103002133), we get a palindrome (3515106015153).

The spelling of 3312003013020 in words is "three trillion, three hundred twelve billion, three million, thirteen thousand, twenty".