11220313 has 8 divisors (see below), whose sum is σ = 12139400. Its totient is φ = 10309248.

The previous prime is 11220311. The next prime is 11220331. The reversal of 11220313 is 31302211.

It can be written as a sum of positive squares in 4 ways, for example, as 3968064 + 7252249 = 1992^2 + 2693^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11220313 - 2¹ = 11220311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 11220293 and 11220302.

It is not an unprimeable number, because it can be changed into a prime (11220311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1093 + ... + 4861.

It is an arithmetic number, because the mean of its divisors is an integer number (1517425).

Almost surely, 2^11220313 is an apocalyptic number.

11220313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11220313 is a deficient number, since it is larger than the sum of its proper divisors (919087).

11220313 is a wasteful number, since it uses less digits than its factorization.

11220313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4011.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 11220313 is about 3349.6735661852. The cubic root of 11220313 is about 223.8729682048.

Adding to 11220313 its reverse (31302211), we get a palindrome (42522524).

The spelling of 11220313 in words is "eleven million, two hundred twenty thousand, three hundred thirteen".