103213 has 6 divisors (see below), whose sum is σ = 113582. Its totient is φ = 93720.

The previous prime is 103183. The next prime is 103217. The reversal of 103213 is 312301.

It can be written as a sum of positive squares in only one way, i.e., 64009 + 39204 = 253^2 + 198^2 .

It is not a de Polignac number, because 103213 - 2⁹ = 102701 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103217) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 306 + ... + 547.

2¹⁰³²¹³ is an apocalyptic number.

It is an amenable number.

103213 is a deficient number, since it is larger than the sum of its proper divisors (10369).

103213 is an equidigital number, since it uses as much as digits as its factorization.

103213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 103213 is about 321.2678010632. The cubic root of 103213 is about 46.9077714537.

Adding to 103213 its reverse (312301), we get a palindrome (415514).

It can be divided in two parts, 10 and 3213, that added together give a palindrome (3223).

The spelling of 103213 in words is "one hundred three thousand, two hundred thirteen".