1001112313 has 8 divisors (see below), whose sum is σ = 1014190056. Its totient is φ = 988108800.

The previous prime is 1001112271. The next prime is 1001112373. The reversal of 1001112313 is 3132111001.

It can be written as a sum of positive squares in 4 ways, for example, as 25674489 + 975437824 = 5067^2 + 31232^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001112313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001112293 and 1001112302.

It is not an unprimeable number, because it can be changed into a prime (1001112373) 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 7 ways as a sum of consecutive naturals, for example, 8853 + ... + 45613.

It is an arithmetic number, because the mean of its divisors is an integer number (126773757).

Almost surely, 2^1001112313 is an apocalyptic number.

It is an amenable number.

1001112313 is a deficient number, since it is larger than the sum of its proper divisors (13077743).

1001112313 is a wasteful number, since it uses less digits than its factorization.

1001112313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37115.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1001112313 is about 31640.3589265356. The cubic root of 1001112313 is about 1000.3706336138.

Adding to 1001112313 its reverse (3132111001), we get a palindrome (4133223314).

The spelling of 1001112313 in words is "one billion, one million, one hundred twelve thousand, three hundred thirteen".