11213313101 has 16 divisors (see below), whose sum is σ = 12310930800. Its totient is φ = 10166059008.

The previous prime is 11213313091. The next prime is 11213313103. The reversal of 11213313101 is 10131331211.

11213313101 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 8 ways, for example, as 1476557476 + 9736755625 = 38426^2 + 98675^2 .

It is a cyclic number.

It is not a de Polignac number, because 11213313101 - 2¹⁸ = 11213050957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 11213313101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213313103) 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, 187205 + ... + 239733.

It is an arithmetic number, because the mean of its divisors is an integer number (769433175).

Almost surely, 2^11213313101 is an apocalyptic number.

It is an amenable number.

11213313101 is a deficient number, since it is larger than the sum of its proper divisors (1097617699).

11213313101 is a wasteful number, since it uses less digits than its factorization.

11213313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53008.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 11213313101 its reverse (10131331211), we get a palindrome (21344644312).

The spelling of 11213313101 in words is "eleven billion, two hundred thirteen million, three hundred thirteen thousand, one hundred one".