10035013 has 2 divisors, whose sum is σ = 10035014. Its totient is φ = 10035012.

The previous prime is 10034987. The next prime is 10035019. The reversal of 10035013 is 31053001.

10035013 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., 8514724 + 1520289 = 2918^2 + 1233^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10035013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10034984 and 10035002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10035019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5017506 + 5017507.

It is an arithmetic number, because the mean of its divisors is an integer number (5017507).

Almost surely, 2^10035013 is an apocalyptic number.

It is an amenable number.

10035013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10035013 is an equidigital number, since it uses as much as digits as its factorization.

10035013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 10035013 is about 3167.8088641836. The cubic root of 10035013 is about 215.6946201850.

Adding to 10035013 its reverse (31053001), we get a palindrome (41088014).

The spelling of 10035013 in words is "ten million, thirty-five thousand, thirteen".