10213 has 4 divisors (see below), whose sum is σ = 11680. Its totient is φ = 8748.

The previous prime is 10211. The next prime is 10223. The reversal of 10213 is 31201.

Adding to 10213 its reverse (31201), we get a palindrome (41414).

It can be divided in two parts, 1021 and 3, that added together give a 10-th power (1024 = 2^{10}).

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 31201 = 41 ⋅761.

It is a 7-Lehmer number, since φ(10213) divides (10213-1)^{7}.

It is a cyclic number.

It is not a de Polignac number, because 10213 - 2^{1} = 10211 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7), and also a Moran number because the ratio is a prime number: 1459 = 10213 / (1 + 0 + 2 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 10196 and 10205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 723 + ... + 736.

It is an arithmetic number, because the mean of its divisors is an integer number (2920).

2^{10213} is an apocalyptic number.

It is an amenable number.

10213 is a deficient number, since it is larger than the sum of its proper divisors (1467).

10213 is an equidigital number, since it uses as much as digits as its factorization.

10213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466.

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 10213 is about 101.0593884802. The cubic root of 10213 is about 21.6962383847.

The spelling of 10213 in words is "ten thousand, two hundred thirteen".

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