13330100013313 has 16 divisors (see below), whose sum is σ = 14359670533120. Its totient is φ = 12333396365136.

The previous prime is 13330100013299. The next prime is 13330100013319. The reversal of 13330100013313 is 31331000103331.

It is a cyclic number.

It is not a de Polignac number, because 13330100013313 - 2⁴¹ = 11131076757761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13330100013319) 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 15 ways as a sum of consecutive naturals, for example, 6121156 + ... + 8008042.

It is an arithmetic number, because the mean of its divisors is an integer number (897479408320).

Almost surely, 2^{13330100013313} is an apocalyptic number.

It is an amenable number.

13330100013313 is a deficient number, since it is larger than the sum of its proper divisors (1029570519807).

13330100013313 is a wasteful number, since it uses less digits than its factorization.

13330100013313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895596.

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 13330100013313 its reverse (31331000103331), we get a palindrome (44661100116644).

The spelling of 13330100013313 in words is "thirteen trillion, three hundred thirty billion, one hundred million, thirteen thousand, three hundred thirteen".