13330220223001 has 24 divisors (see below), whose sum is σ = 15612937590600. Its totient is φ = 11332889018880.

The previous prime is 13330220222999. The next prime is 13330220223011. The reversal of 13330220223001 is 10032202203331.

It can be written as a sum of positive squares in 4 ways, for example, as 854101278976 + 12476118944025 = 924176^2 + 3532155^2 .

It is not a de Polignac number, because 13330220223001 - 2¹ = 13330220222999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13330220223011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20315326 + ... + 20961223.

It is an arithmetic number, because the mean of its divisors is an integer number (650539066275).

Almost surely, 2^{13330220223001} is an apocalyptic number.

13330220223001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13330220223001 is a deficient number, since it is larger than the sum of its proper divisors (2282717367599).

13330220223001 is a wasteful number, since it uses less digits than its factorization.

13330220223001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41276745 (or 41276734 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13330220223001 its reverse (10032202203331), we get a palindrome (23362422426332).

The spelling of 13330220223001 in words is "thirteen trillion, three hundred thirty billion, two hundred twenty million, two hundred twenty-three thousand, one".