13013213333113 has 16 divisors (see below), whose sum is σ = 14920346972160. Its totient is φ = 11118141709056.

The previous prime is 13013213333101. The next prime is 13013213333149. The reversal of 13013213333113 is 31133331231031.

It is a cyclic number.

It is not a de Polignac number, because 13013213333113 - 2¹³ = 13013213324921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13013213333513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2805381 + ... + 5822077.

It is an arithmetic number, because the mean of its divisors is an integer number (932521685760).

Almost surely, 2^{13013213333113} is an apocalyptic number.

It is an amenable number.

13013213333113 is a deficient number, since it is larger than the sum of its proper divisors (1907133639047).

13013213333113 is a wasteful number, since it uses less digits than its factorization.

13013213333113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018696.

The product of its (nonzero) digits is 4374, while the sum is 28.

Adding to 13013213333113 its reverse (31133331231031), we get a palindrome (44146544564144).

The spelling of 13013213333113 in words is "thirteen trillion, thirteen billion, two hundred thirteen million, three hundred thirty-three thousand, one hundred thirteen".