11331306 has 64 divisors (see below), whose sum is σ = 29736960. Its totient is φ = 3129840.

The previous prime is 11331289. The next prime is 11331311. The reversal of 11331306 is 60313311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11235 + ... + 12201.

It is an arithmetic number, because the mean of its divisors is an integer number (464640).

Almost surely, 2^11331306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14868480).

11331306 is an abundant number, since it is smaller than the sum of its proper divisors (18405654).

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

11331306 is a wasteful number, since it uses less digits than its factorization.

11331306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 11331306 is about 3366.2005287861. The cubic root of 11331306 is about 224.6087422494.

Adding to 11331306 its reverse (60313311), we get a palindrome (71644617).

The spelling of 11331306 in words is "eleven million, three hundred thirty-one thousand, three hundred six".