1034034013 has 2 divisors, whose sum is σ = 1034034014. Its totient is φ = 1034034012.

The previous prime is 1034033971. The next prime is 1034034019. The reversal of 1034034013 is 3104304301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 763859044 + 270174969 = 27638^2 + 16437^2 .

It is a cyclic number.

It is not a de Polignac number, because 1034034013 - 2⁹ = 1034033501 is a prime.

It is a super-3 number, since 3×1034034013³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1034034019) 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 as a sum of consecutive naturals, namely, 517017006 + 517017007.

It is an arithmetic number, because the mean of its divisors is an integer number (517017007).

Almost surely, 2^1034034013 is an apocalyptic number.

It is an amenable number.

1034034013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1034034013 is an equidigital number, since it uses as much as digits as its factorization.

1034034013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1034034013 is about 32156.3992542697. The cubic root of 1034034013 is about 1011.2183490302.

Adding to 1034034013 its reverse (3104304301), we get a palindrome (4138338314).

It can be divided in two parts, 103403 and 4013, that added together give a triangular number (107416 = T₄₆₃).

The spelling of 1034034013 in words is "one billion, thirty-four million, thirty-four thousand, thirteen".