1034033013 has 32 divisors (see below), whose sum is σ = 1651668480. Its totient is φ = 635584320.

The previous prime is 1034033009. The next prime is 1034033023. The reversal of 1034033013 is 3103304301.

It is not a de Polignac number, because 1034033013 - 2² = 1034033009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034033003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 554703 + ... + 556563.

It is an arithmetic number, because the mean of its divisors is an integer number (51614640).

Almost surely, 2^1034033013 is an apocalyptic number.

1034033013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1034033013 is a deficient number, since it is larger than the sum of its proper divisors (617635467).

1034033013 is a wasteful number, since it uses less digits than its factorization.

1034033013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466 (or 3460 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1034033013 is about 32156.3837052614. The cubic root of 1034033013 is about 1011.2180230517.

Adding to 1034033013 its reverse (3103304301), we get a palindrome (4137337314).

The spelling of 1034033013 in words is "one billion, thirty-four million, thirty-three thousand, thirteen".