2003301313100 has 36 divisors (see below), whose sum is σ = 4347897107400. Its totient is φ = 801185362560.

The previous prime is 2003301313081. The next prime is 2003301313103. The reversal of 2003301313100 is 13131033002.

It is a super-2 number, since 2×2003301313100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2003301313103) 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, 1092665 + ... + 2280464.

It is an arithmetic number, because the mean of its divisors is an integer number (120774919650).

Almost surely, 2^{2003301313100} is an apocalyptic number.

2003301313100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003301313100 is an abundant number, since it is smaller than the sum of its proper divisors (2344595794300).

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

2003301313100 is a wasteful number, since it uses less digits than its factorization.

2003301313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379082 (or 3379075 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 2003301313100 its reverse (13131033002), we get a palindrome (2016432346102).

The spelling of 2003301313100 in words is "two trillion, three billion, three hundred one million, three hundred thirteen thousand, one hundred".