2001113033120 has 96 divisors (see below), whose sum is σ = 5012504078400. Its totient is φ = 752340013056.

The previous prime is 2001113033113. The next prime is 2001113033131. The reversal of 2001113033120 is 213303111002.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1512311 + ... + 2507849.

It is an arithmetic number, because the mean of its divisors is an integer number (52213584150).

Almost surely, 2^{2001113033120} is an apocalyptic number.

2001113033120 is a gapful number since it is divisible by the number (20) 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 2001113033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506252039200).

2001113033120 is an abundant number, since it is smaller than the sum of its proper divisors (3011391045280).

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

2001113033120 is a wasteful number, since it uses less digits than its factorization.

2001113033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996310 (or 996302 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 2001113033120 its reverse (213303111002), we get a palindrome (2214416144122).

The spelling of 2001113033120 in words is "two trillion, one billion, one hundred thirteen million, thirty-three thousand, one hundred twenty".