13010133013113 has 16 divisors (see below), whose sum is σ = 17770243881600. Its totient is φ = 8461729365120.

The previous prime is 13010133013091. The next prime is 13010133013147. The reversal of 13010133013113 is 31131033101031.

It is not a de Polignac number, because 13010133013113 - 2⁹ = 13010133012601 is a prime.

It is a super-2 number, since 2×13010133013113² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13010133013113.

It is not an unprimeable number, because it can be changed into a prime (13010133033113) 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 15 ways as a sum of consecutive naturals, for example, 6502548 + ... + 8264586.

It is an arithmetic number, because the mean of its divisors is an integer number (1110640242600).

Almost surely, 2^{13010133013113} is an apocalyptic number.

It is an amenable number.

13010133013113 is a deficient number, since it is larger than the sum of its proper divisors (4760110868487).

13010133013113 is a wasteful number, since it uses less digits than its factorization.

13010133013113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822112.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 13010133013113 its reverse (31131033101031), we get a palindrome (44141166114144).

The spelling of 13010133013113 in words is "thirteen trillion, ten billion, one hundred thirty-three million, thirteen thousand, one hundred thirteen".