10129013 has 2 divisors, whose sum is σ = 10129014. Its totient is φ = 10129012.

The previous prime is 10129003. The next prime is 10129019. The reversal of 10129013 is 31092101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9690769 + 438244 = 3113^2 + 662^2 .

It is a cyclic number.

It is not a de Polignac number, because 10129013 - 2⁴ = 10128997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10128982 and 10129000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10129019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5064506 + 5064507.

It is an arithmetic number, because the mean of its divisors is an integer number (5064507).

Almost surely, 2^10129013 is an apocalyptic number.

It is an amenable number.

10129013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10129013 is an equidigital number, since it uses as much as digits as its factorization.

10129013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 10129013 is about 3182.6110349837. The cubic root of 10129013 is about 216.3660132402.

The spelling of 10129013 in words is "ten million, one hundred twenty-nine thousand, thirteen".