111316310121600 has 1344 divisors, whose sum is σ = 427528082522880. Its totient is φ = 28596022272000.

The previous prime is 111316310121593. The next prime is 111316310121623. The reversal of 111316310121600 is 6121013613111.

111316310121600 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 1 + 6 + 31 + 0 + 1 + 21 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 16415910210 + ... + 16415916990.

Almost surely, 2^{111316310121600} is an apocalyptic number.

111316310121600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111316310121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213764041261440).

111316310121600 is an abundant number, since it is smaller than the sum of its proper divisors (316211772401280).

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

111316310121600 is an equidigital number, since it uses as much as digits as its factorization.

111316310121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7081 (or 7049 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

Adding to 111316310121600 its reverse (6121013613111), we get a palindrome (117437323734711).

The spelling of 111316310121600 in words is "one hundred eleven trillion, three hundred sixteen billion, three hundred ten million, one hundred twenty-one thousand, six hundred".