2003133301200 has 90 divisors (see below), whose sum is σ = 6951428993574. Its totient is φ = 534168879360.

The previous prime is 2003133301163. The next prime is 2003133301201. The reversal of 2003133301200 is 21033313002.

2003133301200 is a `hidden beast` number, since 2 + 0 + 0 + 313 + 330 + 1 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 167032420416 + 1836100880784 = 408696^2 + 1355028^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003133301201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 278209359 + ... + 278216558.

Almost surely, 2^{2003133301200} is an apocalyptic number.

2003133301200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003133301200 is an abundant number, since it is smaller than the sum of its proper divisors (4948295692374).

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

2003133301200 is a wasteful number, since it uses less digits than its factorization.

2003133301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556425941 (or 556425927 counting only the distinct ones).

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

Adding to 2003133301200 its reverse (21033313002), we get a palindrome (2024166614202).

The spelling of 2003133301200 in words is "two trillion, three billion, one hundred thirty-three million, three hundred one thousand, two hundred".