131011142344031 has 16 divisors (see below), whose sum is σ = 138793136749344. Its totient is φ = 123237536707584.

The previous prime is 131011142344007. The next prime is 131011142344037. The reversal of 131011142344031 is 130443241110131.

It is not a de Polignac number, because 131011142344031 - 2¹⁸ = 131011142081887 is a prime.

It is a super-2 number, since 2×131011142344031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131011142343985 and 131011142344003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131011142344037) 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 15 ways as a sum of consecutive naturals, for example, 1200813875 + ... + 1200922971.

It is an arithmetic number, because the mean of its divisors is an integer number (8674571046834).

Almost surely, 2^{131011142344031} is an apocalyptic number.

131011142344031 is a deficient number, since it is larger than the sum of its proper divisors (7781994405313).

131011142344031 is a wasteful number, since it uses less digits than its factorization.

131011142344031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146890.

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 131011142344031 its reverse (130443241110131), we get a palindrome (261454383454162).

The spelling of 131011142344031 in words is "one hundred thirty-one trillion, eleven billion, one hundred forty-two million, three hundred forty-four thousand, thirty-one".