1013032321 has 20 divisors (see below), whose sum is σ = 1222636500. Its totient is φ = 838313952.

The previous prime is 1013032297. The next prime is 1013032337. The reversal of 1013032321 is 1232303101.

It can be written as a sum of positive squares in 2 ways, for example, as 700131600 + 312900721 = 26460^2 + 17689^2 .

It is not a de Polignac number, because 1013032321 - 2¹⁹ = 1012508033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1013032295 and 1013032304.

It is not an unprimeable number, because it can be changed into a prime (1013002321) 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 19 ways as a sum of consecutive naturals, for example, 62355 + ... + 76903.

It is an arithmetic number, because the mean of its divisors is an integer number (61131825).

Almost surely, 2^1013032321 is an apocalyptic number.

It is an amenable number.

1013032321 is a deficient number, since it is larger than the sum of its proper divisors (209604179).

1013032321 is an frugal number, since it uses more digits than its factorization.

1013032321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14606 (or 14585 counting only the distinct ones).

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

The square root of 1013032321 is about 31828.1686717913. The cubic root of 1013032321 is about 1004.3253711899.

Adding to 1013032321 its reverse (1232303101), we get a palindrome (2245335422).

The spelling of 1013032321 in words is "one billion, thirteen million, thirty-two thousand, three hundred twenty-one".