13300332002101 has 8 divisors (see below), whose sum is σ = 13562640722520. Its totient is φ = 13038443987712.

The previous prime is 13300332002077. The next prime is 13300332002107. The reversal of 13300332002101 is 10120023300331.

It can be written as a sum of positive squares in 4 ways, for example, as 4817471875876 + 8482860126225 = 2194874^2 + 2912535^2 .

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 13300332002101 - 2¹⁵ = 13300331969333 is a prime.

It is a super-2 number, since 2×13300332002101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300332002107) 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, 105112656 + ... + 105239113.

It is an arithmetic number, because the mean of its divisors is an integer number (1695330090315).

Almost surely, 2^{13300332002101} is an apocalyptic number.

It is an amenable number.

13300332002101 is a deficient number, since it is larger than the sum of its proper divisors (262308720419).

13300332002101 is a wasteful number, since it uses less digits than its factorization.

13300332002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210353015.

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

Adding to 13300332002101 its reverse (10120023300331), we get a palindrome (23420355302432).

The spelling of 13300332002101 in words is "thirteen trillion, three hundred billion, three hundred thirty-two million, two thousand, one hundred one".