2003013131100 has 72 divisors (see below), whose sum is σ = 5795550238128. Its totient is φ = 534121574400.

The previous prime is 2003013131081. The next prime is 2003013131167. The reversal of 2003013131100 is 11313103002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2003013131100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13782012 + ... + 13926588.

Almost surely, 2^{2003013131100} is an apocalyptic number.

2003013131100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003013131100 is an abundant number, since it is smaller than the sum of its proper divisors (3792537107028).

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

2003013131100 is a wasteful number, since it uses less digits than its factorization.

2003013131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190775 (or 190768 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 2003013131100 its reverse (11313103002), we get a palindrome (2014326234102).

The spelling of 2003013131100 in words is "two trillion, three billion, thirteen million, one hundred thirty-one thousand, one hundred".