111113121331120 has 20 divisors (see below), whose sum is σ = 258338007095040. Its totient is φ = 44445248532416.

The previous prime is 111113121331057. The next prime is 111113121331153. The reversal of 111113121331120 is 21133121311111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×111113121331120³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 111113121331091 and 111113121331100.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 694457008240 + ... + 694457008399.

It is an arithmetic number, because the mean of its divisors is an integer number (12916900354752).

Almost surely, 2^{111113121331120} is an apocalyptic number.

111113121331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111113121331120 is an abundant number, since it is smaller than the sum of its proper divisors (147224885763920).

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

111113121331120 is a wasteful number, since it uses less digits than its factorization.

111113121331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388914016652 (or 1388914016646 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 22.

Adding to 111113121331120 its reverse (21133121311111), we get a palindrome (132246242642231).

The spelling of 111113121331120 in words is "one hundred eleven trillion, one hundred thirteen billion, one hundred twenty-one million, three hundred thirty-one thousand, one hundred twenty".