1003013329 has 2 divisors, whose sum is σ = 1003013330. Its totient is φ = 1003013328.

The previous prime is 1003013273. The next prime is 1003013351. The reversal of 1003013329 is 9233103001.

1003013329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (1003013351) can be obtained adding 1003013329 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 929945025 + 73068304 = 30495^2 + 8548^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003013329 - 2⁷ = 1003013201 is a prime.

It is not a weakly prime, because it can be changed into another prime (1003013369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501506664 + 501506665.

It is an arithmetic number, because the mean of its divisors is an integer number (501506665).

Almost surely, 2^1003013329 is an apocalyptic number.

It is an amenable number.

1003013329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003013329 is an equidigital number, since it uses as much as digits as its factorization.

1003013329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 1003013329 is about 31670.3856781063. The cubic root of 1003013329 is about 1001.0034357799.

The spelling of 1003013329 in words is "one billion, three million, thirteen thousand, three hundred twenty-nine".