1000112321 has 8 divisors (see below), whose sum is σ = 1077495720. Its totient is φ = 922793472.

The previous prime is 1000112317. The next prime is 1000112327. The reversal of 1000112321 is 1232110001.

It can be written as a sum of positive squares in 4 ways, for example, as 5340721 + 994771600 = 2311^2 + 31540^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000112321 - 2² = 1000112317 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1000112327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18875 + ... + 48543.

It is an arithmetic number, because the mean of its divisors is an integer number (134686965).

Almost surely, 2^1000112321 is an apocalyptic number.

It is an amenable number.

1000112321 is a deficient number, since it is larger than the sum of its proper divisors (77383399).

1000112321 is a wasteful number, since it uses less digits than its factorization.

1000112321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32275.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1000112321 is about 31624.5525027628. The cubic root of 1000112321 is about 1000.0374389316.

Adding to 1000112321 its reverse (1232110001), we get a palindrome (2232222322).

It can be divided in two parts, 10001 and 12321, that multiplied together give a palindrome (123222321).

The spelling of 1000112321 in words is "one billion, one hundred twelve thousand, three hundred twenty-one".