1013312 has 28 divisors (see below), whose sum is σ = 2048256. Its totient is φ = 497280.

The previous prime is 1013291. The next prime is 1013321. The reversal of 1013312 is 2133101.

1013312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 1013293 and 1013302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4433 + ... + 4655.

It is an arithmetic number, because the mean of its divisors is an integer number (73152).

2^1013312 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 1013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024128).

1013312 is an abundant number, since it is smaller than the sum of its proper divisors (1034944).

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

1013312 is an equidigital number, since it uses as much as digits as its factorization.

1013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1013312 is about 1006.6339950548. The cubic root of 1013312 is about 100.4417787744.

Adding to 1013312 its reverse (2133101), we get a palindrome (3146413).

The spelling of 1013312 in words is "one million, thirteen thousand, three hundred twelve".