2003131113 has 8 divisors (see below), whose sum is σ = 2673162528. Its totient is φ = 1334260224.

The previous prime is 2003131103. The next prime is 2003131121. The reversal of 2003131113 is 3111313002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2003131113 - 2¹⁰ = 2003130089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2003131092 and 2003131101.

It is not an unprimeable number, because it can be changed into a prime (2003131103) 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 7 ways as a sum of consecutive naturals, for example, 286095 + ... + 293012.

It is an arithmetic number, because the mean of its divisors is an integer number (334145316).

Almost surely, 2^2003131113 is an apocalyptic number.

It is an amenable number.

2003131113 is a deficient number, since it is larger than the sum of its proper divisors (670031415).

2003131113 is a wasteful number, since it uses less digits than its factorization.

2003131113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580263.

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

The square root of 2003131113 is about 44756.3527669537. The cubic root of 2003131113 is about 1260.5781996088.

Adding to 2003131113 its reverse (3111313002), we get a palindrome (5114444115).

It can be divided in two parts, 200 and 3131113, that added together give a palindrome (3131313).

The spelling of 2003131113 in words is "two billion, three million, one hundred thirty-one thousand, one hundred thirteen".