1322321013 has 48 divisors (see below), whose sum is σ = 2186336880. Its totient is φ = 762918912.

The previous prime is 1322320999. The next prime is 1322321023. The reversal of 1322321013 is 3101232231.

It can be written as a sum of positive squares in 8 ways, for example, as 4848804 + 1317472209 = 2202^2 + 36297^2 .

It is not a de Polignac number, because 1322321013 - 2⁵ = 1322320981 is a prime.

It is a super-2 number, since 2×1322321013² = 3497065722842692338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322321023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 581643 + ... + 583911.

It is an arithmetic number, because the mean of its divisors is an integer number (45548685).

Almost surely, 2^1322321013 is an apocalyptic number.

1322321013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1322321013 is a deficient number, since it is larger than the sum of its proper divisors (864015867).

1322321013 is a wasteful number, since it uses less digits than its factorization.

1322321013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1322321013 is about 36363.7321104421. The cubic root of 1322321013 is about 1097.6038788287.

Adding to 1322321013 its reverse (3101232231), we get a palindrome (4423553244).

The spelling of 1322321013 in words is "one billion, three hundred twenty-two million, three hundred twenty-one thousand, thirteen".