1034107013 has 2 divisors, whose sum is σ = 1034107014. Its totient is φ = 1034107012.

The previous prime is 1034106967. The next prime is 1034107037. The reversal of 1034107013 is 3107014301.

It is a happy number.

1034107013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 582884449 + 451222564 = 24143^2 + 21242^2 .

It is a cyclic number.

It is not a de Polignac number, because 1034107013 - 2¹⁸ = 1033844869 is a prime.

It is a super-3 number, since 3×1034107013³ (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 (1034107073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 517053506 + 517053507.

It is an arithmetic number, because the mean of its divisors is an integer number (517053507).

Almost surely, 2^1034107013 is an apocalyptic number.

It is an amenable number.

1034107013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1034107013 is an equidigital number, since it uses as much as digits as its factorization.

1034107013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 1034107013 is about 32157.5343115731. The cubic root of 1034107013 is about 1011.2421448956.

The spelling of 1034107013 in words is "one billion, thirty-four million, one hundred seven thousand, thirteen".