201321 has 6 divisors (see below), whose sum is σ = 290810. Its totient is φ = 134208.

The previous prime is 201307. The next prime is 201329. The reversal of 201321 is 123102.

It is a happy number.

201321 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 168921 + 32400 = 411^2 + 180^2 .

It is not a de Polignac number, because 201321 - 2⁷ = 201193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 22369 = 201321 / (2 + 0 + 1 + 3 + 2 + 1).

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201329) 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, 11176 + ... + 11193.

2²⁰¹³²¹ is an apocalyptic number.

It is an amenable number.

201321 is a deficient number, since it is larger than the sum of its proper divisors (89489).

201321 is a wasteful number, since it uses less digits than its factorization.

201321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22375 (or 22372 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 201321 is about 448.6880876511. The cubic root of 201321 is about 58.6088265737.

Adding to 201321 its reverse (123102), we get a palindrome (324423).

The spelling of 201321 in words is "two hundred one thousand, three hundred twenty-one", and thus it is an iban number.