2013312 has 96 divisors (see below), whose sum is σ = 6279120. Its totient is φ = 569856.

The previous prime is 2013307. The next prime is 2013313. The reversal of 2013312 is 2133102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2013313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18763 + ... + 18869.

2^2013312 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 2013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139560).

2013312 is an abundant number, since it is smaller than the sum of its proper divisors (4265808).

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

2013312 is a wasteful number, since it uses less digits than its factorization.

2013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

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

The square root of 2013312 is about 1418.9122594438. The cubic root of 2013312 is about 126.2710215625.

Adding to 2013312 its reverse (2133102), we get a palindrome (4146414).

The spelling of 2013312 in words is "two million, thirteen thousand, three hundred twelve".