10013032321 has 2 divisors, whose sum is σ = 10013032322. Its totient is φ = 10013032320.

The previous prime is 10013032301. The next prime is 10013032349. The reversal of 10013032321 is 12323031001.

10013032321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5751553921 + 4261478400 = 75839^2 + 65280^2 .

It is a cyclic number.

It is not a de Polignac number, because 10013032321 - 2⁷ = 10013032193 is a prime.

It is a super-2 number, since 2×10013032321² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10013032295 and 10013032304.

It is not a weakly prime, because it can be changed into another prime (10013032301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006516160 + 5006516161.

It is an arithmetic number, because the mean of its divisors is an integer number (5006516161).

Almost surely, 2^10013032321 is an apocalyptic number.

It is an amenable number.

10013032321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013032321 is an equidigital number, since it uses as much as digits as its factorization.

10013032321 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10013032321 its reverse (12323031001), we get a palindrome (22336063322).

The spelling of 10013032321 in words is "ten billion, thirteen million, thirty-two thousand, three hundred twenty-one".