1121131113300 has 864 divisors, whose sum is σ = 4246584451200. Its totient is φ = 244353024000.

The previous prime is 1121131113293. The next prime is 1121131113409. The reversal of 1121131113300 is 33111311211.

1121131113300 is a `hidden beast` number, since 1 + 1 + 21 + 1 + 311 + 1 + 330 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 285345736 + ... + 285349664.

It is an arithmetic number, because the mean of its divisors is an integer number (4915028300).

Almost surely, 2^{1121131113300} is an apocalyptic number.

1121131113300 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 1121131113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123292225600).

1121131113300 is an abundant number, since it is smaller than the sum of its proper divisors (3125453337900).

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

1121131113300 is a wasteful number, since it uses less digits than its factorization.

1121131113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1121131113300 its reverse (33111311211), we get a palindrome (1154242424511).

The spelling of 1121131113300 in words is "one trillion, one hundred twenty-one billion, one hundred thirty-one million, one hundred thirteen thousand, three hundred".