11313312 has 48 divisors (see below), whose sum is σ = 29901312. Its totient is φ = 3745280.

The previous prime is 11313311. The next prime is 11313329. The reversal of 11313312 is 21331311.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11313291 and 11313300.

It is not an unprimeable number, because it can be changed into a prime (11313311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18028 + ... + 18644.

It is an arithmetic number, because the mean of its divisors is an integer number (622944).

Almost surely, 2^11313312 is an apocalyptic number.

11313312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14950656).

11313312 is an abundant number, since it is smaller than the sum of its proper divisors (18588000).

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

11313312 is a wasteful number, since it uses less digits than its factorization.

11313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 813 counting only the distinct ones).

The product of its digits is 54, while the sum is 15.

The square root of 11313312 is about 3363.5267205717. The cubic root of 11313312 is about 224.4897871191.

Adding to 11313312 its reverse (21331311), we get a palindrome (32644623).

The spelling of 11313312 in words is "eleven million, three hundred thirteen thousand, three hundred twelve".