13310213021001 has 18 divisors (see below), whose sum is σ = 20818538317278. Its totient is φ = 8190900319680.

The previous prime is 13310213020969. The next prime is 13310213021003. The reversal of 13310213021001 is 10012031201331.

13310213021001 is a `hidden beast` number, since 1 + 331 + 0 + 21 + 302 + 10 + 0 + 1 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 200635909776 + 13109577111225 = 447924^2 + 3620715^2 .

It is not a de Polignac number, because 13310213021001 - 2⁵ = 13310213020969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13310213021003) 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 17 ways as a sum of consecutive naturals, for example, 4375479420 + ... + 4375482461.

It is an arithmetic number, because the mean of its divisors is an integer number (1156585462071).

Almost surely, 2^{13310213021001} is an apocalyptic number.

It is an amenable number.

13310213021001 is a deficient number, since it is larger than the sum of its proper divisors (7508325296277).

13310213021001 is a wasteful number, since it uses less digits than its factorization.

13310213021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8750961913 (or 8750961897 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13310213021001 its reverse (10012031201331), we get a palindrome (23322244222332).

The spelling of 13310213021001 in words is "thirteen trillion, three hundred ten billion, two hundred thirteen million, twenty-one thousand, one".