131311113 has 16 divisors (see below), whose sum is σ = 180156480. Its totient is φ = 85012416.

The previous prime is 131311099. The next prime is 131311123. The reversal of 131311113 is 311113131.

It is not a de Polignac number, because 131311113 - 2¹⁶ = 131245577 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 131311092 and 131311101.

It is not an unprimeable number, because it can be changed into a prime (131311123) 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, 91306 + ... + 92732.

It is an arithmetic number, because the mean of its divisors is an integer number (11259780).

Almost surely, 2^131311113 is an apocalyptic number.

It is an amenable number.

131311113 is a deficient number, since it is larger than the sum of its proper divisors (48845367).

131311113 is a wasteful number, since it uses less digits than its factorization.

131311113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296.

The product of its digits is 27, while the sum is 15.

The square root of 131311113 is about 11459.1061169709. The cubic root of 131311113 is about 508.2770423977.

Adding to 131311113 its reverse (311113131), we get a palindrome (442424244).

The spelling of 131311113 in words is "one hundred thirty-one million, three hundred eleven thousand, one hundred thirteen".