1033130313 has 12 divisors (see below), whose sum is σ = 1507075908. Its totient is φ = 681933600.

The previous prime is 1033130279. The next prime is 1033130327. The reversal of 1033130313 is 3130313301.

It can be written as a sum of positive squares in 2 ways, for example, as 763251129 + 269879184 = 27627^2 + 16428^2 .

It is not a de Polignac number, because 1033130313 - 2⁸ = 1033130057 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1033130333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 567370 + ... + 569187.

It is an arithmetic number, because the mean of its divisors is an integer number (125589659).

Almost surely, 2^1033130313 is an apocalyptic number.

It is an amenable number.

1033130313 is a deficient number, since it is larger than the sum of its proper divisors (473945595).

1033130313 is a wasteful number, since it uses less digits than its factorization.

1033130313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136664 (or 1136661 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 1033130313 is about 32142.3445473413. The cubic root of 1033130313 is about 1010.9236764637.

Adding to 1033130313 its reverse (3130313301), we get a palindrome (4163443614).

The spelling of 1033130313 in words is "one billion, thirty-three million, one hundred thirty thousand, three hundred thirteen".