11213312 has 60 divisors (see below), whose sum is σ = 24762738. Its totient is φ = 5068800.

The previous prime is 11213303. The next prime is 11213347. The reversal of 11213312 is 21331211.

It can be written as a sum of positive squares in only one way, i.e., 11182336 + 30976 = 3344^2 + 176^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61862 + ... + 62042.

Almost surely, 2^11213312 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 11213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12381369).

11213312 is an abundant number, since it is smaller than the sum of its proper divisors (13549426).

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

11213312 is an equidigital number, since it uses as much as digits as its factorization.

11213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 194 counting only the distinct ones).

The product of its digits is 36, while the sum is 14.

The square root of 11213312 is about 3348.6283759175. The cubic root of 11213312 is about 223.8263961010.

Adding to 11213312 its reverse (21331211), we get a palindrome (32544523).

It can be divided in two parts, 11 and 213312, that multiplied together give a palindrome (2346432).

The spelling of 11213312 in words is "eleven million, two hundred thirteen thousand, three hundred twelve".