13221310003331 has 16 divisors (see below), whose sum is σ = 14344091919360. Its totient is φ = 12137020984320.

The previous prime is 13221310003301. The next prime is 13221310003333. The reversal of 13221310003331 is 13330001312231.

It is a cyclic number.

It is not a de Polignac number, because 13221310003331 - 2²⁶ = 13221242894467 is a prime.

It is a super-3 number, since 3×13221310003331³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13221310003297 and 13221310003306.

It is not an unprimeable number, because it can be changed into a prime (13221310003333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374165 + ... + 5155833.

It is an arithmetic number, because the mean of its divisors is an integer number (896505744960).

Almost surely, 2^{13221310003331} is an apocalyptic number.

13221310003331 is a deficient number, since it is larger than the sum of its proper divisors (1122781916029).

13221310003331 is a wasteful number, since it uses less digits than its factorization.

13221310003331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4785694.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13221310003331 its reverse (13330001312231), we get a palindrome (26551311315562).

The spelling of 13221310003331 in words is "thirteen trillion, two hundred twenty-one billion, three hundred ten million, three thousand, three hundred thirty-one".