131131011113 has 8 divisors (see below), whose sum is σ = 141464310408. Its totient is φ = 121088790784.

The previous prime is 131131011103. The next prime is 131131011197. The reversal of 131131011113 is 311110131131.

It can be written as a sum of positive squares in 4 ways, for example, as 11187927529 + 119943083584 = 105773^2 + 346328^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 131131011113 - 2⁶ = 131131011049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131131011091 and 131131011100.

It is not an unprimeable number, because it can be changed into a prime (131131011103) 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, 72768806 + ... + 72770607.

It is an arithmetic number, because the mean of its divisors is an integer number (17683038801).

Almost surely, 2^131131011113 is an apocalyptic number.

It is an amenable number.

131131011113 is a deficient number, since it is larger than the sum of its proper divisors (10333299295).

131131011113 is a wasteful number, since it uses less digits than its factorization.

131131011113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145539483.

The product of its (nonzero) digits is 27, while the sum is 17.

Adding to 131131011113 its reverse (311110131131), we get a palindrome (442241142244).

The spelling of 131131011113 in words is "one hundred thirty-one billion, one hundred thirty-one million, eleven thousand, one hundred thirteen".