13011300111 has 16 divisors (see below), whose sum is σ = 18377801600. Its totient is φ = 8165315808.

The previous prime is 13011300059. The next prime is 13011300151. The reversal of 13011300111 is 11100311031.

13011300111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13011300111 - 2¹⁵ = 13011267343 is a prime.

It is a super-2 number, since 2×13011300111² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13011300151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718021 + ... + 735918.

It is an arithmetic number, because the mean of its divisors is an integer number (1148612600).

Almost surely, 2^13011300111 is an apocalyptic number.

13011300111 is a deficient number, since it is larger than the sum of its proper divisors (5366501489).

13011300111 is a wasteful number, since it uses less digits than its factorization.

13011300111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454118.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 13011300111 its reverse (11100311031), we get a palindrome (24111611142).

The spelling of 13011300111 in words is "thirteen billion, eleven million, three hundred thousand, one hundred eleven".