13000133313311 has 16 divisors (see below), whose sum is σ = 13170002826240. Its totient is φ = 12831114104640.

The previous prime is 13000133313283. The next prime is 13000133313319. The reversal of 13000133313311 is 11331333100031.

It is a cyclic number.

It is not a de Polignac number, because 13000133313311 - 2³⁴ = 12982953444127 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000133313319) 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, 300413606 + ... + 300456876.

It is an arithmetic number, because the mean of its divisors is an integer number (823125176640).

Almost surely, 2^{13000133313311} is an apocalyptic number.

13000133313311 is a deficient number, since it is larger than the sum of its proper divisors (169869512929).

13000133313311 is a wasteful number, since it uses less digits than its factorization.

13000133313311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53006.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 13000133313311 its reverse (11331333100031), we get a palindrome (24331466413342).

The spelling of 13000133313311 in words is "thirteen trillion, one hundred thirty-three million, three hundred thirteen thousand, three hundred eleven".