10003320329 has 16 divisors (see below), whose sum is σ = 10306826640. Its totient is φ = 9704448000.

The previous prime is 10003320323. The next prime is 10003320337. The reversal of 10003320329 is 92302330001.

It can be written as a sum of positive squares in 8 ways, for example, as 3056431225 + 6946889104 = 55285^2 + 83348^2 .

It is a cyclic number.

It is not a de Polignac number, because 10003320329 - 2²⁴ = 9986543113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10003320323) 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, 3331829 + ... + 3334829.

It is an arithmetic number, because the mean of its divisors is an integer number (644176665).

Almost surely, 2^10003320329 is an apocalyptic number.

It is an amenable number.

10003320329 is a deficient number, since it is larger than the sum of its proper divisors (303506311).

10003320329 is a wasteful number, since it uses less digits than its factorization.

10003320329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3740.

The product of its (nonzero) digits is 972, while the sum is 23.

The spelling of 10003320329 in words is "ten billion, three million, three hundred twenty thousand, three hundred twenty-nine".