112031331001 has 2 divisors, whose sum is σ = 112031331002. Its totient is φ = 112031331000.

The previous prime is 112031330989. The next prime is 112031331011. The reversal of 112031331001 is 100133130211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87169610025 + 24861720976 = 295245^2 + 157676^2 .

It is a cyclic number.

It is not a de Polignac number, because 112031331001 - 2⁵ = 112031330969 is a prime.

It is not a weakly prime, because it can be changed into another prime (112031331011) 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, 56015665500 + 56015665501.

It is an arithmetic number, because the mean of its divisors is an integer number (56015665501).

Almost surely, 2^112031331001 is an apocalyptic number.

It is an amenable number.

112031331001 is a deficient number, since it is larger than the sum of its proper divisors (1).

112031331001 is an equidigital number, since it uses as much as digits as its factorization.

112031331001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 112031331001 its reverse (100133130211), we get a palindrome (212164461212).

The spelling of 112031331001 in words is "one hundred twelve billion, thirty-one million, three hundred thirty-one thousand, one".