131111313 has 8 divisors (see below), whose sum is σ = 179539968. Its totient is φ = 85045104.

The previous prime is 131111263. The next prime is 131111359. The reversal of 131111313 is 313111131.

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

It is not a de Polignac number, because 131111313 - 2¹⁶ = 131045777 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 = 131111292 and 131111301.

It is not an unprimeable number, because it can be changed into a prime (131111713) 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, 590481 + ... + 590702.

It is an arithmetic number, because the mean of its divisors is an integer number (22442496).

Almost surely, 2^131111313 is an apocalyptic number.

It is an amenable number.

131111313 is a deficient number, since it is larger than the sum of its proper divisors (48428655).

131111313 is a wasteful number, since it uses less digits than its factorization.

131111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181223.

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

The square root of 131111313 is about 11450.3848406942. The cubic root of 131111313 is about 508.0191172771.

Adding to 131111313 its reverse (313111131), we get a palindrome (444222444).

It can be divided in two parts, 13111131 and 3, that multiplied together give a palindrome (39333393).

The spelling of 131111313 in words is "one hundred thirty-one million, one hundred eleven thousand, three hundred thirteen".