13000011011111 has 8 divisors (see below), whose sum is σ = 13129976496000. Its totient is φ = 12870117676152.

The previous prime is 13000011011033. The next prime is 13000011011161. The reversal of 13000011011111 is 11111011000031.

13000011011111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13000011011111 - 2¹⁴ = 13000010994727 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13000011011092 and 13000011011101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000011011161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17675285 + ... + 18396078.

It is an arithmetic number, because the mean of its divisors is an integer number (1641247062000).

Almost surely, 2^{13000011011111} is an apocalyptic number.

13000011011111 is a deficient number, since it is larger than the sum of its proper divisors (129965484889).

13000011011111 is a wasteful number, since it uses less digits than its factorization.

13000011011111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36074965.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 13000011011111 its reverse (11111011000031), we get a palindrome (24111022011142).

The spelling of 13000011011111 in words is "thirteen trillion, eleven million, eleven thousand, one hundred eleven".