2003300100000 has 720 divisors, whose sum is σ = 7434926868600. Its totient is φ = 529079040000.

The previous prime is 2003300099923. The next prime is 2003300100013. The reversal of 2003300100000 is 10033002.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1296510158736 + 706789941264 = 1138644^2 + 840708^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2003300100000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 882898866 + ... + 882901134.

Almost surely, 2^{2003300100000} is an apocalyptic number.

2003300100000 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 2003300100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717463434300).

2003300100000 is an abundant number, since it is smaller than the sum of its proper divisors (5431626768600).

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

2003300100000 is an equidigital number, since it uses as much as digits as its factorization.

2003300100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 2003300100000 its reverse (10033002), we get a palindrome (2003310133002).

The spelling of 2003300100000 in words is "two trillion, three billion, three hundred million, one hundred thousand".