11220041313 has 72 divisors (see below), whose sum is σ = 17913698712. Its totient is φ = 6762921984.

The previous prime is 11220041257. The next prime is 11220041317. The reversal of 11220041313 is 31314002211.

11220041313 is a `hidden beast` number, since 112 + 200 + 41 + 313 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 9917769744 + 1302271569 = 99588^2 + 36087^2 .

It is not a de Polignac number, because 11220041313 - 2⁶ = 11220041249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11220041317) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16671345 + ... + 16672017.

It is an arithmetic number, because the mean of its divisors is an integer number (248801371).

Almost surely, 2^11220041313 is an apocalyptic number.

11220041313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11220041313 is a deficient number, since it is larger than the sum of its proper divisors (6693657399).

11220041313 is a wasteful number, since it uses less digits than its factorization.

11220041313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11220041313 its reverse (31314002211), we get a palindrome (42534043524).

The spelling of 11220041313 in words is "eleven billion, two hundred twenty million, forty-one thousand, three hundred thirteen".