112131012332131 has 16 divisors (see below), whose sum is σ = 120893702307840. Its totient is φ = 103387952875680.

The previous prime is 112131012332099. The next prime is 112131012332167. The reversal of 112131012332131 is 131233210131211.

It is a cyclic number.

It is not a de Polignac number, because 112131012332131 - 2⁵ = 112131012332099 is a prime.

It is a super-2 number, since 2×112131012332131² (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 = 112131012332096 and 112131012332105.

It is not an unprimeable number, because it can be changed into a prime (112131012332231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101470926 + ... + 102570028.

It is an arithmetic number, because the mean of its divisors is an integer number (7555856394240).

Almost surely, 2^{112131012332131} is an apocalyptic number.

112131012332131 is a deficient number, since it is larger than the sum of its proper divisors (8762689975709).

112131012332131 is a wasteful number, since it uses less digits than its factorization.

112131012332131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108026.

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 112131012332131 its reverse (131233210131211), we get a palindrome (243364222463342).

The spelling of 112131012332131 in words is "one hundred twelve trillion, one hundred thirty-one billion, twelve million, three hundred thirty-two thousand, one hundred thirty-one".