13323031321321 has 16 divisors (see below), whose sum is σ = 13849653177360. Its totient is φ = 12800954199040.

The previous prime is 13323031321309. The next prime is 13323031321331. The reversal of 13323031321321 is 12312313032331.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 341098049296 + 12981933272025 = 584036^2 + 3603045^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13323031321321 is a prime.

It is a super-2 number, since 2×13323031321321² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13323031321321.

It is not an unprimeable number, because it can be changed into a prime (13323031321331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11055951 + ... + 12201643.

It is an arithmetic number, because the mean of its divisors is an integer number (865603323585).

Almost surely, 2^{13323031321321} is an apocalyptic number.

It is an amenable number.

13323031321321 is a deficient number, since it is larger than the sum of its proper divisors (526621856039).

13323031321321 is a wasteful number, since it uses less digits than its factorization.

13323031321321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147676.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 13323031321321 its reverse (12312313032331), we get a palindrome (25635344353652).

The spelling of 13323031321321 in words is "thirteen trillion, three hundred twenty-three billion, thirty-one million, three hundred twenty-one thousand, three hundred twenty-one".