13220333010001 has 16 divisors (see below), whose sum is σ = 14728877528400. Its totient is φ = 11782053900288.

The previous prime is 13220333009987. The next prime is 13220333010007. The reversal of 13220333010001 is 10001033302231.

It can be written as a sum of positive squares in 8 ways, for example, as 2912534758225 + 10307798251776 = 1706615^2 + 3210576^2 .

It is a cyclic number.

It is not a de Polignac number, because 13220333010001 - 2¹⁵ = 13220332977233 is a prime.

It is a super-3 number, since 3×13220333010001³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13220333010007) 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, 7833565 + ... + 9370453.

It is an arithmetic number, because the mean of its divisors is an integer number (920554845525).

Almost surely, 2^{13220333010001} is an apocalyptic number.

It is an amenable number.

13220333010001 is a deficient number, since it is larger than the sum of its proper divisors (1508544518399).

13220333010001 is a wasteful number, since it uses less digits than its factorization.

13220333010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559748.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13220333010001 its reverse (10001033302231), we get a palindrome (23221366312232).

The spelling of 13220333010001 in words is "thirteen trillion, two hundred twenty billion, three hundred thirty-three million, ten thousand, one".