10029013 has 2 divisors, whose sum is σ = 10029014. Its totient is φ = 10029012.

The previous prime is 10029011. The next prime is 10029023. The reversal of 10029013 is 31092001.

10029013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5793649 + 4235364 = 2407^2 + 2058^2 .

It is a cyclic number.

It is not a de Polignac number, because 10029013 - 2¹ = 10029011 is a prime.

It is a super-2 number, since 2×10029013² = 201162203508338, which contains 22 as substring.

Together with 10029011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10029011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5014506 + 5014507.

It is an arithmetic number, because the mean of its divisors is an integer number (5014507).

Almost surely, 2^10029013 is an apocalyptic number.

It is an amenable number.

10029013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10029013 is an equidigital number, since it uses as much as digits as its factorization.

10029013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 10029013 is about 3166.8616957486. The cubic root of 10029013 is about 215.6516232057.

The spelling of 10029013 in words is "ten million, twenty-nine thousand, thirteen".