213381 has 16 divisors (see below), whose sum is σ = 361600. Its totient is φ = 121824.

The previous prime is 213361. The next prime is 213383. The reversal of 213381 is 183312.

It is not a de Polignac number, because 213381 - 2⁵ = 213349 is a prime.

It is a super-2 number, since 2×213381² = 91062902322, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376 + ... + 753.

It is an arithmetic number, because the mean of its divisors is an integer number (22600).

2²¹³³⁸¹ is an apocalyptic number.

213381 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213381 is a deficient number, since it is larger than the sum of its proper divisors (148219).

213381 is a wasteful number, since it uses less digits than its factorization.

213381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1139 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 213381 is about 461.9318131499. The cubic root of 213381 is about 59.7565132399.

Adding to 213381 its reverse (183312), we get a palindrome (396693).

It can be divided in two parts, 2 and 13381, that multiplied together give a palindrome (26762).

The spelling of 213381 in words is "two hundred thirteen thousand, three hundred eighty-one".