13111131 has 16 divisors (see below), whose sum is σ = 20193408. Its totient is φ = 7478400.

The previous prime is 13111129. The next prime is 13111139.

13111131 is nontrivially palindromic in base 10.

13111131 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 13111131 - 2¹ = 13111129 is a prime.

It is a super-2 number, since 2×13111131² = 343803512198322, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13111139) 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, 11125 + ... + 12246.

It is an arithmetic number, because the mean of its divisors is an integer number (1262088).

Almost surely, 2^13111131 is an apocalyptic number.

13111131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13111131 is a deficient number, since it is larger than the sum of its proper divisors (7082277).

13111131 is a wasteful number, since it uses less digits than its factorization.

13111131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23402.

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

The square root of 13111131 is about 3620.9295767800. The cubic root of 13111131 is about 235.8015844031.

It can be divided in two parts, 1311 and 1131, that added together give a palindrome (2442).

The spelling of 13111131 in words is "thirteen million, one hundred eleven thousand, one hundred thirty-one".