2003131322320 has 40 divisors (see below), whose sum is σ = 4770872535240. Its totient is φ = 781709783040.

The previous prime is 2003131322287. The next prime is 2003131322323. The reversal of 2003131322320 is 232231313002.

It can be written as a sum of positive squares in 4 ways, for example, as 88273163664 + 1914858158656 = 297108^2 + 1383784^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2003131322291 and 2003131322300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003131322323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 305352105 + ... + 305358664.

It is an arithmetic number, because the mean of its divisors is an integer number (119271813381).

Almost surely, 2^{2003131322320} is an apocalyptic number.

2003131322320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003131322320 is an abundant number, since it is smaller than the sum of its proper divisors (2767741212920).

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

2003131322320 is a wasteful number, since it uses less digits than its factorization.

2003131322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610710823 (or 610710817 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 2003131322320 its reverse (232231313002), we get a palindrome (2235362635322).

The spelling of 2003131322320 in words is "two trillion, three billion, one hundred thirty-one million, three hundred twenty-two thousand, three hundred twenty".