213123 has 8 divisors (see below), whose sum is σ = 299200. Its totient is φ = 134568.

The previous prime is 213119. The next prime is 213131. The reversal of 213123 is 321312.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 213123 - 2² = 213119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213099 and 213108.

It is not an unprimeable number, because it can be changed into a prime (213133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1813 + ... + 1926.

It is an arithmetic number, because the mean of its divisors is an integer number (37400).

2²¹³¹²³ is an apocalyptic number.

213123 is a deficient number, since it is larger than the sum of its proper divisors (86077).

213123 is a wasteful number, since it uses less digits than its factorization.

213123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3761.

The product of its digits is 36, while the sum is 12.

The square root of 213123 is about 461.6524666890. The cubic root of 213123 is about 59.7324195636.

Adding to 213123 its reverse (321312), we get a palindrome (534435).

It can be divided in two parts, 21312 and 3, that multiplied together give a palindrome (63936).

The spelling of 213123 in words is "two hundred thirteen thousand, one hundred twenty-three".