11113300103120 has 40 divisors (see below), whose sum is σ = 26075472510120. Its totient is φ = 4404537285120.

The previous prime is 11113300103111. The next prime is 11113300103141. The reversal of 11113300103120 is 2130100331111.

It can be written as a sum of positive squares in 4 ways, for example, as 2972755292224 + 8140544810896 = 1724168^2 + 2853164^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 637221791 + ... + 637239230.

It is an arithmetic number, because the mean of its divisors is an integer number (651886812753).

Almost surely, 2^{11113300103120} is an apocalyptic number.

11113300103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11113300103120 is an abundant number, since it is smaller than the sum of its proper divisors (14962172407000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11113300103120 is a wasteful number, since it uses less digits than its factorization.

11113300103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274461143 (or 1274461137 counting only the distinct ones).

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

Adding to 11113300103120 its reverse (2130100331111), we get a palindrome (13243400434231).

The spelling of 11113300103120 in words is "eleven trillion, one hundred thirteen billion, three hundred million, one hundred three thousand, one hundred twenty".