131113131 has 8 divisors (see below), whose sum is σ = 174972480. Its totient is φ = 87331272.

The previous prime is 131113123. The next prime is 131113139. The reversal of 131113131 is 131311131.

It is an interprime number because it is at equal distance from previous prime (131113123) and next prime (131113139).

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

It is not a de Polignac number, because 131113131 - 2³ = 131113123 is a prime.

It is a super-2 number, since 2×131113131² = 34381306241246322, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131113131.

It is not an unprimeable number, because it can be changed into a prime (131113139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15301 + ... + 22278.

It is an arithmetic number, because the mean of its divisors is an integer number (21871560).

Almost surely, 2^131113131 is an apocalyptic number.

131113131 is a deficient number, since it is larger than the sum of its proper divisors (43859349).

131113131 is a wasteful number, since it uses less digits than its factorization.

131113131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38745.

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

The square root of 131113131 is about 11450.4642263971. The cubic root of 131113131 is about 508.0214653442.

Adding to 131113131 its reverse (131311131), we get a palindrome (262424262).

The spelling of 131113131 in words is "one hundred thirty-one million, one hundred thirteen thousand, one hundred thirty-one".