1000334313 has 32 divisors (see below), whose sum is σ = 1620564480. Its totient is φ = 604815120.

The previous prime is 1000334227. The next prime is 1000334339. The reversal of 1000334313 is 3134330001.

It is not a de Polignac number, because 1000334313 - 2¹² = 1000330217 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1000330313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127770 + ... + 135372.

It is an arithmetic number, because the mean of its divisors is an integer number (50642640).

Almost surely, 2^1000334313 is an apocalyptic number.

It is an amenable number.

1000334313 is a deficient number, since it is larger than the sum of its proper divisors (620230167).

1000334313 is a wasteful number, since it uses less digits than its factorization.

1000334313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8066 (or 8060 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1000334313 is about 31628.0621126240. The cubic root of 1000334313 is about 1000.1114252506. Note that the first 3 decimals are identical.

Adding to 1000334313 its reverse (3134330001), we get a palindrome (4134664314).

The spelling of 1000334313 in words is "one billion, three hundred thirty-four thousand, three hundred thirteen".