11221100313 has 16 divisors (see below), whose sum is σ = 15761993280. Its totient is φ = 7081124544.

The previous prime is 11221100309. The next prime is 11221100323. The reversal of 11221100313 is 31300112211.

It is a happy number.

11221100313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11221100313 - 2² = 11221100309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11221100292 and 11221100301.

It is not an unprimeable number, because it can be changed into a prime (11221100323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12006 + ... + 150287.

It is an arithmetic number, because the mean of its divisors is an integer number (985124580).

Almost surely, 2^11221100313 is an apocalyptic number.

It is an amenable number.

11221100313 is a deficient number, since it is larger than the sum of its proper divisors (4540892967).

11221100313 is a wasteful number, since it uses less digits than its factorization.

11221100313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163528.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11221100313 its reverse (31300112211), we get a palindrome (42521212524).

The spelling of 11221100313 in words is "eleven billion, two hundred twenty-one million, one hundred thousand, three hundred thirteen".