20003133300 has 288 divisors, whose sum is σ = 63184955904. Its totient is φ = 4866048000.

The previous prime is 20003133257. The next prime is 20003133331. The reversal of 20003133300 is 333130002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20003133300.

It is a congruent number.

It is an unprimeable number.

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, 56665924 + ... + 56666276.

It is an arithmetic number, because the mean of its divisors is an integer number (219392208).

Almost surely, 2^20003133300 is an apocalyptic number.

20003133300 is a gapful number since it is divisible by the number (20) 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 20003133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31592477952).

20003133300 is an abundant number, since it is smaller than the sum of its proper divisors (43181822604).

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

20003133300 is a wasteful number, since it uses less digits than its factorization.

20003133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 20003133300 its reverse (333130002), we get a palindrome (20336263302).

The spelling of 20003133300 in words is "twenty billion, three million, one hundred thirty-three thousand, three hundred".