131111331013 has 4 divisors (see below), whose sum is σ = 141196818028. Its totient is φ = 121025844000.

The previous prime is 131111331007. The next prime is 131111331023. The reversal of 131111331013 is 310133111131.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 310133111131 = 59 ⋅5256493409.

It can be written as a sum of positive squares in 2 ways, for example, as 18193153924 + 112918177089 = 134882^2 + 336033^2 .

It is a cyclic number.

It is not a de Polignac number, because 131111331013 - 2¹³ = 131111322821 is a prime.

It is a super-2 number, since 2×131111331013² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131111331023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5042743488 + ... + 5042743513.

It is an arithmetic number, because the mean of its divisors is an integer number (35299204507).

Almost surely, 2^131111331013 is an apocalyptic number.

131111331013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131111331013 is a deficient number, since it is larger than the sum of its proper divisors (10085487015).

131111331013 is a wasteful number, since it uses less digits than its factorization.

131111331013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10085487014.

The product of its (nonzero) digits is 81, while the sum is 19.

Adding to 131111331013 its reverse (310133111131), we get a palindrome (441244442144).

The spelling of 131111331013 in words is "one hundred thirty-one billion, one hundred eleven million, three hundred thirty-one thousand, thirteen".