10500213 has 16 divisors (see below), whose sum is σ = 14952960. Its totient is φ = 6538224.

The previous prime is 10500187. The next prime is 10500229. The reversal of 10500213 is 31200501.

10500213 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10500213 - 2¹³ = 10492021 is a prime.

It is a super-2 number, since 2×10500213² = 220508946090738, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1198 + ... + 4736.

It is an arithmetic number, because the mean of its divisors is an integer number (934560).

Almost surely, 2^10500213 is an apocalyptic number.

It is an amenable number.

10500213 is a deficient number, since it is larger than the sum of its proper divisors (4452747).

10500213 is a wasteful number, since it uses less digits than its factorization.

10500213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3608.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 10500213 is about 3240.4032156508. The cubic root of 10500213 is about 218.9774376789.

Adding to 10500213 its reverse (31200501), we get a palindrome (41700714).

The spelling of 10500213 in words is "ten million, five hundred thousand, two hundred thirteen".