10020333003300 has 216 divisors, whose sum is σ = 32263618324392. Its totient is φ = 2599340544000.

The previous prime is 10020333003269. The next prime is 10020333003301. The reversal of 10020333003300 is 330033302001.

10020333003300 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 0 + 3 + 330 + 0 + 330 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 44994045924 + 9975338957376 = 212118^2 + 3158376^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10020333003301) 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 71 ways as a sum of consecutive naturals, for example, 179159340 + ... + 179215260.

Almost surely, 2^{10020333003300} is an apocalyptic number.

10020333003300 is a gapful number since it is divisible by the number (10) 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 10020333003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16131809162196).

10020333003300 is an abundant number, since it is smaller than the sum of its proper divisors (22243285321092).

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

10020333003300 is a wasteful number, since it uses less digits than its factorization.

10020333003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61359 (or 61349 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 10020333003300 its reverse (330033302001), we get a palindrome (10350366305301).

The spelling of 10020333003300 in words is "ten trillion, twenty billion, three hundred thirty-three million, three thousand, three hundred".