10813312 has 32 divisors (see below), whose sum is σ = 22484880. Its totient is φ = 5170176.

The previous prime is 10813307. The next prime is 10813333. The reversal of 10813312 is 21331801.

10813312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10813312.

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, 1108 + ... + 4780.

Almost surely, 2^10813312 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 10813312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11242440).

10813312 is an abundant number, since it is smaller than the sum of its proper divisors (11671568).

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

10813312 is an equidigital number, since it uses as much as digits as its factorization.

10813312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 10813312 is about 3288.3600776071. The cubic root of 10813312 is about 221.1326708287.

The spelling of 10813312 in words is "ten million, eight hundred thirteen thousand, three hundred twelve".