1013312033 has 4 divisors (see below), whose sum is σ = 1013409840. Its totient is φ = 1013214228.

The previous prime is 1013311993. The next prime is 1013312129. The reversal of 1013312033 is 3302133101.

1013312033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 1013312033 - 2¹⁴ = 1013295649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1013312233) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31235 + ... + 54792.

It is an arithmetic number, because the mean of its divisors is an integer number (253352460).

Almost surely, 2^1013312033 is an apocalyptic number.

It is an amenable number.

1013312033 is a deficient number, since it is larger than the sum of its proper divisors (97807).

1013312033 is an equidigital number, since it uses as much as digits as its factorization.

1013312033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97806.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 1013312033 is about 31832.5624636158. The cubic root of 1013312033 is about 1004.4177986478.

Adding to 1013312033 its reverse (3302133101), we get a palindrome (4315445134).

The spelling of 1013312033 in words is "one billion, thirteen million, three hundred twelve thousand, thirty-three".