13033130013 has 16 divisors (see below), whose sum is σ = 19310547840. Its totient is φ = 8687760192.

The previous prime is 13033129999. The next prime is 13033130041. The reversal of 13033130013 is 31003133031.

13033130013 is a `hidden beast` number, since 1 + 30 + 331 + 300 + 1 + 3 = 666.

It is not a de Polignac number, because 13033130013 - 2¹⁶ = 13033064477 is a prime.

It is a super-2 number, since 2×13033130013² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13033130093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272245 + ... + 316517.

It is an arithmetic number, because the mean of its divisors is an integer number (1206909240).

Almost surely, 2^13033130013 is an apocalyptic number.

It is an amenable number.

13033130013 is a deficient number, since it is larger than the sum of its proper divisors (6277417827).

13033130013 is a wasteful number, since it uses less digits than its factorization.

13033130013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55185 (or 55179 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 13033130013 its reverse (31003133031), we get a palindrome (44036263044).

The spelling of 13033130013 in words is "thirteen billion, thirty-three million, one hundred thirty thousand, thirteen".