1010003313 has 8 divisors (see below), whose sum is σ = 1469095776. Its totient is φ = 612123200.

The previous prime is 1010003297. The next prime is 1010003339. The reversal of 1010003313 is 3133000101.

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 1010003313 - 2⁴ = 1010003297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1010013313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15303048 + ... + 15303113.

It is an arithmetic number, because the mean of its divisors is an integer number (183636972).

Almost surely, 2^1010003313 is an apocalyptic number.

It is an amenable number.

1010003313 is a deficient number, since it is larger than the sum of its proper divisors (459092463).

1010003313 is a wasteful number, since it uses less digits than its factorization.

1010003313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30606175.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1010003313 is about 31780.5492872606. The cubic root of 1010003313 is about 1003.3233805728.

Adding to 1010003313 its reverse (3133000101), we get a palindrome (4143003414).

The spelling of 1010003313 in words is "one billion, ten million, three thousand, three hundred thirteen".