13021223110001 has 8 divisors (see below), whose sum is σ = 13338878166600. Its totient is φ = 12703571112960.

The previous prime is 13021223109971. The next prime is 13021223110019. The reversal of 13021223110001 is 10001132212031.

It can be written as a sum of positive squares in 4 ways, for example, as 5124133959025 + 7897089150976 = 2263655^2 + 2810176^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13021223110001 is a prime.

It is a super-3 number, since 3×13021223110001³ (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 not an unprimeable number, because it can be changed into a prime (13021223110801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9515885 + ... + 10797893.

It is an arithmetic number, because the mean of its divisors is an integer number (1667359770825).

Almost surely, 2^{13021223110001} is an apocalyptic number.

It is an amenable number.

13021223110001 is a deficient number, since it is larger than the sum of its proper divisors (317655056599).

13021223110001 is a wasteful number, since it uses less digits than its factorization.

13021223110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529779.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 13021223110001 its reverse (10001132212031), we get a palindrome (23022355322032).

The spelling of 13021223110001 in words is "thirteen trillion, twenty-one billion, two hundred twenty-three million, one hundred ten thousand, one".