1033534313 has 12 divisors (see below), whose sum is σ = 1214184132. Its totient is φ = 877111200.

The previous prime is 1033534303. The next prime is 1033534339. The reversal of 1033534313 is 3134353301.

It can be written as a sum of positive squares in 2 ways, for example, as 517881049 + 515653264 = 22757^2 + 22708^2 .

It is not a de Polignac number, because 1033534313 - 2¹⁸ = 1033272169 is a prime.

It is a super-2 number, since 2×1033534313² = 2136386352296763938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1033534303) 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 11 ways as a sum of consecutive naturals, for example, 99470 + ... + 109367.

It is an arithmetic number, because the mean of its divisors is an integer number (101182011).

Almost surely, 2^1033534313 is an apocalyptic number.

It is an amenable number.

1033534313 is a deficient number, since it is larger than the sum of its proper divisors (180649819).

1033534313 is a wasteful number, since it uses less digits than its factorization.

1033534313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208952 (or 208945 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 26.

The square root of 1033534313 is about 32148.6284777438. The cubic root of 1033534313 is about 1011.0554313630.

Adding to 1033534313 its reverse (3134353301), we get a palindrome (4167887614).

The spelling of 1033534313 in words is "one billion, thirty-three million, five hundred thirty-four thousand, three hundred thirteen".