11101303131113 has 16 divisors (see below), whose sum is σ = 11983950953856. Its totient is φ = 10222774423680.

The previous prime is 11101303131101. The next prime is 11101303131169. The reversal of 11101303131113 is 31113130310111.

It is a happy number.

It is not a de Polignac number, because 11101303131113 - 2²⁶ = 11101236022249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11101303331113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13742570 + ... + 14527932.

It is an arithmetic number, because the mean of its divisors is an integer number (748996934616).

Almost surely, 2^{11101303131113} is an apocalyptic number.

11101303131113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11101303131113 is a deficient number, since it is larger than the sum of its proper divisors (882647822743).

11101303131113 is a wasteful number, since it uses less digits than its factorization.

11101303131113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787984.

The product of its (nonzero) digits is 81, while the sum is 20.

Adding to 11101303131113 its reverse (31113130310111), we get a palindrome (42214433441224).

The spelling of 11101303131113 in words is "eleven trillion, one hundred one billion, three hundred three million, one hundred thirty-one thousand, one hundred thirteen".