13330021332101 has 8 divisors (see below), whose sum is σ = 13469717927160. Its totient is φ = 13190641152192.

The previous prime is 13330021332083. The next prime is 13330021332127. The reversal of 13330021332101 is 10123312003331.

It can be written as a sum of positive squares in 4 ways, for example, as 3603918763201 + 9726102568900 = 1898399^2 + 3118670^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 13330021332101 - 2¹⁴ = 13330021315717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330021332701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79019090 + ... + 79187603.

It is an arithmetic number, because the mean of its divisors is an integer number (1683714740895).

Almost surely, 2^{13330021332101} is an apocalyptic number.

It is an amenable number.

13330021332101 is a deficient number, since it is larger than the sum of its proper divisors (139696595059).

13330021332101 is a wasteful number, since it uses less digits than its factorization.

13330021332101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158207575.

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

Adding to 13330021332101 its reverse (10123312003331), we get a palindrome (23453333335432).

The spelling of 13330021332101 in words is "thirteen trillion, three hundred thirty billion, twenty-one million, three hundred thirty-two thousand, one hundred one".