11311022121113 has 64 divisors (see below), whose sum is σ = 13432416883200. Its totient is φ = 9445514158080.

The previous prime is 11311022121101. The next prime is 11311022121143. The reversal of 11311022121113 is 31112122011311.

It is not a de Polignac number, because 11311022121113 - 2⁴ = 11311022121097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11311022121143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5353061945 + ... + 5353064057.

It is an arithmetic number, because the mean of its divisors is an integer number (209881513800).

Almost surely, 2^{11311022121113} is an apocalyptic number.

11311022121113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11311022121113 is a deficient number, since it is larger than the sum of its proper divisors (2121394762087).

11311022121113 is a wasteful number, since it uses less digits than its factorization.

11311022121113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3139 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 11311022121113 its reverse (31112122011311), we get a palindrome (42423144132424).

The spelling of 11311022121113 in words is "eleven trillion, three hundred eleven billion, twenty-two million, one hundred twenty-one thousand, one hundred thirteen".