11113011123120 has 80 divisors (see below), whose sum is σ = 38278149431520. Its totient is φ = 2963469632256.

The previous prime is 11113011123089. The next prime is 11113011123163. The reversal of 11113011123120 is 2132111031111.

11113011123120 is a `hidden beast` number, since 1 + 111 + 301 + 1 + 1 + 231 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11113011123093 and 11113011123102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2572454119 + ... + 2572458438.

It is an arithmetic number, because the mean of its divisors is an integer number (478476867894).

Almost surely, 2^{11113011123120} is an apocalyptic number.

11113011123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11113011123120 is an abundant number, since it is smaller than the sum of its proper divisors (27165138308400).

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

11113011123120 is a wasteful number, since it uses less digits than its factorization.

11113011123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144912579 (or 5144912567 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 11113011123120 its reverse (2132111031111), we get a palindrome (13245122154231).

The spelling of 11113011123120 in words is "eleven trillion, one hundred thirteen billion, eleven million, one hundred twenty-three thousand, one hundred twenty".