2003011300 has 36 divisors (see below), whose sum is σ = 4371696756. Its totient is φ = 796566400.

The previous prime is 2003011289. The next prime is 2003011301. The reversal of 2003011300 is 31103002.

It can be written as a sum of positive squares in 6 ways, for example, as 173396224 + 1829615076 = 13168^2 + 42774^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2003011301) 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 11 ways as a sum of consecutive naturals, for example, 40591 + ... + 75190.

It is an arithmetic number, because the mean of its divisors is an integer number (121436021).

Almost surely, 2^2003011300 is an apocalyptic number.

2003011300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003011300 is an abundant number, since it is smaller than the sum of its proper divisors (2368685456).

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

2003011300 is a wasteful number, since it uses less digits than its factorization.

2003011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115968 (or 115961 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 2003011300 is about 44755.0142442163. The cubic root of 2003011300 is about 1260.5530661787.

Adding to 2003011300 its reverse (31103002), we get a palindrome (2034114302).

It can be divided in two parts, 200301 and 1300, that added together give a square (201601 = 449²).

The spelling of 2003011300 in words is "two billion, three million, eleven thousand, three hundred".