11101221313 has 12 divisors (see below), whose sum is σ = 13907025300. Its totient is φ = 8783383392.

The previous prime is 11101221311. The next prime is 11101221349. The reversal of 11101221313 is 31312210111.

It is a happy number.

11101221313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 654950464 + 10446270849 = 25592^2 + 102207^2 .

It is not a de Polignac number, because 11101221313 - 2¹ = 11101221311 is a prime.

It is a super-3 number, since 3×11101221313³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (11101221311) 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 11 ways as a sum of consecutive naturals, for example, 8713038 + ... + 8714311.

It is an arithmetic number, because the mean of its divisors is an integer number (1158918775).

Almost surely, 2^11101221313 is an apocalyptic number.

11101221313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11101221313 is a deficient number, since it is larger than the sum of its proper divisors (2805803987).

11101221313 is a wasteful number, since it uses less digits than its factorization.

11101221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17427376 (or 17427369 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11101221313 its reverse (31312210111), we get a palindrome (42413431424).

The spelling of 11101221313 in words is "eleven billion, one hundred one million, two hundred twenty-one thousand, three hundred thirteen".