113001002120 has 64 divisors (see below), whose sum is σ = 263136384000. Its totient is φ = 43622385408.

The previous prime is 113001002099. The next prime is 113001002159. The reversal of 113001002120 is 21200100311.

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 15 ways as a sum of consecutive naturals, for example, 2743841 + ... + 2784719.

It is an arithmetic number, because the mean of its divisors is an integer number (4111506000).

Almost surely, 2^113001002120 is an apocalyptic number.

113001002120 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 113001002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131568192000).

113001002120 is an abundant number, since it is smaller than the sum of its proper divisors (150135381880).

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

113001002120 is a wasteful number, since it uses less digits than its factorization.

113001002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43302 (or 43298 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 113001002120 its reverse (21200100311), we get a palindrome (134201102431).

The spelling of 113001002120 in words is "one hundred thirteen billion, one million, two thousand, one hundred twenty".