112131261117 has 28 divisors (see below), whose sum is σ = 168186118240. Its totient is φ = 74724768648.

The previous prime is 112131261089. The next prime is 112131261131. The reversal of 112131261117 is 711162131211.

It is a happy number.

112131261117 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 31 + 2 + 611 + 17 = 666.

It is not a de Polignac number, because 112131261117 - 2¹⁴ = 112131244733 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112131261157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1909488 + ... + 1967334.

It is an arithmetic number, because the mean of its divisors is an integer number (6006647080).

Almost surely, 2^112131261117 is an apocalyptic number.

It is an amenable number.

112131261117 is a deficient number, since it is larger than the sum of its proper divisors (56054857123).

112131261117 is an frugal number, since it uses more digits than its factorization.

112131261117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60524 (or 60509 counting only the distinct ones).

The product of its digits is 504, while the sum is 27.

Adding to 112131261117 its reverse (711162131211), we get a palindrome (823293392328).

It can be divided in two parts, 112131 and 261117, that added together give a cube (373248 = 72³).

The spelling of 112131261117 in words is "one hundred twelve billion, one hundred thirty-one million, two hundred sixty-one thousand, one hundred seventeen".