1002003310321 has 4 divisors (see below), whose sum is σ = 1079080488052. Its totient is φ = 924926132592.

The previous prime is 1002003310307. The next prime is 1002003310367. The reversal of 1002003310321 is 1230133002001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 143119212721 + 858884097600 = 378311^2 + 926760^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002003310321 - 2²⁹ = 1001466439409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002003310295 and 1002003310304.

It is not an unprimeable number, because it can be changed into a prime (1002003313321) 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 3 ways as a sum of consecutive naturals, for example, 38538588846 + ... + 38538588871.

It is an arithmetic number, because the mean of its divisors is an integer number (269770122013).

Almost surely, 2^{1002003310321} is an apocalyptic number.

It is an amenable number.

1002003310321 is a deficient number, since it is larger than the sum of its proper divisors (77077177731).

1002003310321 is an equidigital number, since it uses as much as digits as its factorization.

1002003310321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77077177730.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1002003310321 its reverse (1230133002001), we get a palindrome (2232136312322).

The spelling of 1002003310321 in words is "one trillion, two billion, three million, three hundred ten thousand, three hundred twenty-one".