1013305330 has 16 divisors (see below), whose sum is σ = 1825314264. Its totient is φ = 405018880.

The previous prime is 1013305303. The next prime is 1013305333. The reversal of 1013305330 is 335033101.

It can be written as a sum of positive squares in 4 ways, for example, as 493328521 + 519976809 = 22211^2 + 22803^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1013305298 and 1013305307.

It is not an unprimeable number, because it can be changed into a prime (1013305333) 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, 23617 + ... + 50836.

Almost surely, 2^1013305330 is an apocalyptic number.

1013305330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1013305330 is a deficient number, since it is larger than the sum of its proper divisors (812008934).

1013305330 is a wasteful number, since it uses less digits than its factorization.

1013305330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75821.

The product of its (nonzero) digits is 405, while the sum is 19.

The square root of 1013305330 is about 31832.4571781696. The cubic root of 1013305330 is about 1004.4155839212.

Adding to 1013305330 its reverse (335033101), we get a palindrome (1348338431).

The spelling of 1013305330 in words is "one billion, thirteen million, three hundred five thousand, three hundred thirty".