1020033313 has 8 divisors (see below), whose sum is σ = 1099866600. Its totient is φ = 940395648.

The previous prime is 1020033263. The next prime is 1020033317. The reversal of 1020033313 is 3133300201.

1020033313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 137170944 + 882862369 = 11712^2 + 29713^2 .

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 1020033313 - 2⁹ = 1020032801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020033317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37978 + ... + 59011.

It is an arithmetic number, because the mean of its divisors is an integer number (137483325).

Almost surely, 2^1020033313 is an apocalyptic number.

1020033313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1020033313 is a deficient number, since it is larger than the sum of its proper divisors (79833287).

1020033313 is an equidigital number, since it uses as much as digits as its factorization.

1020033313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97811.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 1020033313 is about 31937.9603763296. The cubic root of 1020033313 is about 1006.6336681409.

Adding to 1020033313 its reverse (3133300201), we get a palindrome (4153333514).

The spelling of 1020033313 in words is "one billion, twenty million, thirty-three thousand, three hundred thirteen".