201312 has 48 divisors (see below), whose sum is σ = 589680. Its totient is φ = 66816.

The previous prime is 201307. The next prime is 201329. The reversal of 201312 is 213102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 201294 and 201303.

It is a congruent number.

It is an unprimeable number.

201312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 748 + ... + 980.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2²⁰¹³¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294840).

201312 is an abundant number, since it is smaller than the sum of its proper divisors (388368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201312 is a wasteful number, since it uses less digits than its factorization.

201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

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

The square root of 201312 is about 448.6780583002. The cubic root of 201312 is about 58.6079531968.

Adding to 201312 its reverse (213102), we get a palindrome (414414).

It can be divided in two parts, 2013 and 12, that added together give a square (2025 = 45²).

The spelling of 201312 in words is "two hundred one thousand, three hundred twelve", and thus it is an iban number.