10003000321 has 8 divisors (see below), whose sum is σ = 10023222888. Its totient is φ = 9982800000.

The previous prime is 10003000313. The next prime is 10003000339. The reversal of 10003000321 is 12300030001.

It can be written as a sum of positive squares in 4 ways, for example, as 2514521025 + 7488479296 = 50145^2 + 86536^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10003000321 - 2³ = 10003000313 is a prime.

It is a super-2 number, since 2×10003000321² (a number of 21 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 = 10003000298 and 10003000307.

It is not an unprimeable number, because it can be changed into a prime (10003000921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1106821 + ... + 1115821.

It is an arithmetic number, because the mean of its divisors is an integer number (1252902861).

Almost surely, 2^10003000321 is an apocalyptic number.

It is an amenable number.

10003000321 is a deficient number, since it is larger than the sum of its proper divisors (20222567).

10003000321 is an equidigital number, since it uses as much as digits as its factorization.

10003000321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11123.

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 10003000321 its reverse (12300030001), we get a palindrome (22303030322).

The spelling of 10003000321 in words is "ten billion, three million, three hundred twenty-one", and thus it is an aban number.