1113312003120 has 240 divisors, whose sum is σ = 3998007048672. Its totient is φ = 276652646400.

The previous prime is 1113312003101. The next prime is 1113312003143. The reversal of 1113312003120 is 213002133111.

1113312003120 is a `hidden beast` number, since 1 + 1 + 1 + 331 + 20 + 0 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 1113312003093 and 1113312003102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 785959 + ... + 1686521.

Almost surely, 2^{1113312003120} is an apocalyptic number.

1113312003120 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 1113312003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999003524336).

1113312003120 is an abundant number, since it is smaller than the sum of its proper divisors (2884695045552).

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

1113312003120 is a wasteful number, since it uses less digits than its factorization.

1113312003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900700 (or 900691 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1113312003120 its reverse (213002133111), we get a palindrome (1326314136231).

The spelling of 1113312003120 in words is "one trillion, one hundred thirteen billion, three hundred twelve million, three thousand, one hundred twenty".