13111011011131 has 16 divisors (see below), whose sum is σ = 14658168146688. Its totient is φ = 11623918572000.

The previous prime is 13111011011117. The next prime is 13111011011143.

It is a happy number.

13111011011131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13111011011131 - 2²⁹ = 13110474140219 is a prime.

It is a super-2 number, since 2×13111011011131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13111011017131) 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, 21115020 + ... + 21727081.

It is an arithmetic number, because the mean of its divisors is an integer number (916135509168).

Almost surely, 2^{13111011011131} is an apocalyptic number.

13111011011131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13111011011131 is a deficient number, since it is larger than the sum of its proper divisors (1547157135557).

13111011011131 is a wasteful number, since it uses less digits than its factorization.

13111011011131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42842802.

The product of its (nonzero) digits is 9, while the sum is 16.

It can be divided in two parts, 1311101 and 1011131, that added together give a palindrome (2322232).

The spelling of 13111011011131 in words is "thirteen trillion, one hundred eleven billion, eleven million, eleven thousand, one hundred thirty-one".