1003300002000 has 120 divisors (see below), whose sum is σ = 3504192536520. Its totient is φ = 267546662400.

The previous prime is 1003300001989. The next prime is 1003300002007. The reversal of 1003300002000 is 2000033001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 245167580736 + 758132421264 = 495144^2 + 870708^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1003300002000² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003300002007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27851445 + ... + 27887444.

It is an arithmetic number, because the mean of its divisors is an integer number (29201604471).

Almost surely, 2^{1003300002000} is an apocalyptic number.

1003300002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003300002000 is an abundant number, since it is smaller than the sum of its proper divisors (2500892534520).

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

1003300002000 is a wasteful number, since it uses less digits than its factorization.

1003300002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55738918 (or 55738899 counting only the distinct ones).

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

Adding to 1003300002000 its reverse (2000033001), we get a palindrome (1005300035001).

The spelling of 1003300002000 in words is "one trillion, three billion, three hundred million, two thousand".