131311112033 has 4 divisors (see below), whose sum is σ = 131428670100. Its totient is φ = 131193553968.

The previous prime is 131311112027. The next prime is 131311112039. The reversal of 131311112033 is 330211113131.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 330211113131 = 1439 ⋅229472629.

It is an interprime number because it is at equal distance from previous prime (131311112027) and next prime (131311112039).

It can be written as a sum of positive squares in 2 ways, for example, as 8256084769 + 123055027264 = 90863^2 + 350792^2 .

It is a cyclic number.

It is not a de Polignac number, because 131311112033 - 2²⁰ = 131310063457 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131311111996 and 131311112014.

It is not an unprimeable number, because it can be changed into a prime (131311112039) 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, 58777358 + ... + 58779591.

It is an arithmetic number, because the mean of its divisors is an integer number (32857167525).

Almost surely, 2^131311112033 is an apocalyptic number.

It is an amenable number.

131311112033 is a deficient number, since it is larger than the sum of its proper divisors (117558067).

131311112033 is a wasteful number, since it uses less digits than its factorization.

131311112033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117558066.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 131311112033 its reverse (330211113131), we get a palindrome (461522225164).

The spelling of 131311112033 in words is "one hundred thirty-one billion, three hundred eleven million, one hundred twelve thousand, thirty-three".