131011142020031 has 24 divisors (see below), whose sum is σ = 164137985418960. Its totient is φ = 103648238572032.

The previous prime is 131011142019959. The next prime is 131011142020051. The reversal of 131011142020031 is 130020241110131.

It is a de Polignac number, because none of the positive numbers 2^k-131011142020031 is a prime.

It is a super-2 number, since 2×131011142020031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131011142019985 and 131011142020012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131011142020051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1452041 + ... + 16252098.

It is an arithmetic number, because the mean of its divisors is an integer number (6839082725790).

Almost surely, 2^{131011142020031} is an apocalyptic number.

131011142020031 is a deficient number, since it is larger than the sum of its proper divisors (33126843398929).

131011142020031 is a wasteful number, since it uses less digits than its factorization.

131011142020031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17715783 (or 17715776 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 131011142020031 its reverse (130020241110131), we get a palindrome (261031383130162).

The spelling of 131011142020031 in words is "one hundred thirty-one trillion, eleven billion, one hundred forty-two million, twenty thousand, thirty-one".