2003131031321 has 6 divisors (see below), whose sum is σ = 2330172832410. Its totient is φ = 1716969455376.

The previous prime is 2003131031309. The next prime is 2003131031353. The reversal of 2003131031321 is 1231301313002.

It can be written as a sum of positive squares in only one way, i.e., 1700256915721 + 302874115600 = 1303939^2 + 550340^2 .

It is not a de Polignac number, because 2003131031321 - 2⁶ = 2003131031257 is a prime.

It is a super-2 number, since 2×2003131031321² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2003131031293 and 2003131031302.

It is not an unprimeable number, because it can be changed into a prime (2003131931321) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20440112516 + ... + 20440112613.

It is an arithmetic number, because the mean of its divisors is an integer number (388362138735).

Almost surely, 2^{2003131031321} is an apocalyptic number.

It is an amenable number.

2003131031321 is a deficient number, since it is larger than the sum of its proper divisors (327041801089).

2003131031321 is an equidigital number, since it uses as much as digits as its factorization.

2003131031321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40880225143 (or 40880225136 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 2003131031321 its reverse (1231301313002), we get a palindrome (3234432344323).

The spelling of 2003131031321 in words is "two trillion, three billion, one hundred thirty-one million, thirty-one thousand, three hundred twenty-one".