10135213 has 16 divisors (see below), whose sum is σ = 11866176. Its totient is φ = 8554240.

The previous prime is 10135201. The next prime is 10135219. The reversal of 10135213 is 31253101.

It is a cyclic number.

It is not a de Polignac number, because 10135213 - 2⁹ = 10134701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10135219) 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 in 15 ways as a sum of consecutive naturals, for example, 15195 + ... + 15847.

It is an arithmetic number, because the mean of its divisors is an integer number (741636).

Almost surely, 2^10135213 is an apocalyptic number.

It is an amenable number.

10135213 is a deficient number, since it is larger than the sum of its proper divisors (1730963).

10135213 is a wasteful number, since it uses less digits than its factorization.

10135213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 10135213 is about 3183.5849289755. The cubic root of 10135213 is about 216.4101503365.

Adding to 10135213 its reverse (31253101), we get a palindrome (41388314).

It can be divided in two parts, 1013 and 5213, that added together give a palindrome (6226).

The spelling of 10135213 in words is "ten million, one hundred thirty-five thousand, two hundred thirteen".