2003131322319 has 16 divisors (see below), whose sum is σ = 2743718739968. Its totient is φ = 1299000605472.

The previous prime is 2003131322287. The next prime is 2003131322323. The reversal of 2003131322319 is 9132231313002.

It is not a de Polignac number, because 2003131322319 - 2⁵ = 2003131322287 is a prime.

It is a super-2 number, since 2×2003131322319² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003131322359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1834207 + ... + 2714880.

It is an arithmetic number, because the mean of its divisors is an integer number (171482421248).

Almost surely, 2^{2003131322319} is an apocalyptic number.

2003131322319 is a deficient number, since it is larger than the sum of its proper divisors (740587417649).

2003131322319 is a wasteful number, since it uses less digits than its factorization.

2003131322319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4553094.

The product of its (nonzero) digits is 5832, while the sum is 30.

The spelling of 2003131322319 in words is "two trillion, three billion, one hundred thirty-one million, three hundred twenty-two thousand, three hundred nineteen".