1001133313 has 8 divisors (see below), whose sum is σ = 1087819520. Its totient is φ = 917846640.

The previous prime is 1001133293. The next prime is 1001133319. The reversal of 1001133313 is 3133311001.

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 1001133313 - 2⁹ = 1001132801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001133319) 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, 849270 + ... + 850447.

It is an arithmetic number, because the mean of its divisors is an integer number (135977440).

Almost surely, 2^1001133313 is an apocalyptic number.

It is an amenable number.

1001133313 is a deficient number, since it is larger than the sum of its proper divisors (86686207).

1001133313 is a wasteful number, since it uses less digits than its factorization.

1001133313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699767.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 1001133313 is about 31640.6907794378. The cubic root of 1001133313 is about 1000.3776283789.

Adding to 1001133313 its reverse (3133311001), we get a palindrome (4134444314).

The spelling of 1001133313 in words is "one billion, one million, one hundred thirty-three thousand, three hundred thirteen".