112131021133 has 2 divisors, whose sum is σ = 112131021134. Its totient is φ = 112131021132.

The previous prime is 112131021131. The next prime is 112131021179. The reversal of 112131021133 is 331120131211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103212485289 + 8918535844 = 321267^2 + 94438^2 .

It is a cyclic number.

It is not a de Polignac number, because 112131021133 - 2¹ = 112131021131 is a prime.

Together with 112131021131, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 112131021133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112131021131) 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 as a sum of consecutive naturals, namely, 56065510566 + 56065510567.

It is an arithmetic number, because the mean of its divisors is an integer number (56065510567).

Almost surely, 2^112131021133 is an apocalyptic number.

It is an amenable number.

112131021133 is a deficient number, since it is larger than the sum of its proper divisors (1).

112131021133 is an equidigital number, since it uses as much as digits as its factorization.

112131021133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 112131021133 its reverse (331120131211), we get a palindrome (443251152344).

The spelling of 112131021133 in words is "one hundred twelve billion, one hundred thirty-one million, twenty-one thousand, one hundred thirty-three".