2003131322033 has 8 divisors (see below), whose sum is σ = 2052802247496. Its totient is φ = 1953499161600.

The previous prime is 2003131321963. The next prime is 2003131322041. The reversal of 2003131322033 is 3302231313002.

It can be written as a sum of positive squares in 4 ways, for example, as 28296959089 + 1974834362944 = 168217^2 + 1405288^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2003131322033 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2003131327033) 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, 9586616 + ... + 9793337.

It is an arithmetic number, because the mean of its divisors is an integer number (256600280937).

Almost surely, 2^{2003131322033} is an apocalyptic number.

It is an amenable number.

2003131322033 is a deficient number, since it is larger than the sum of its proper divisors (49670925463).

2003131322033 is a wasteful number, since it uses less digits than its factorization.

2003131322033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19382515.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 2003131322033 its reverse (3302231313002), we get a palindrome (5305362635035).

The spelling of 2003131322033 in words is "two trillion, three billion, one hundred thirty-one million, three hundred twenty-two thousand, thirty-three".