2013002112 has 128 divisors (see below), whose sum is σ = 6021688320. Its totient is φ = 590284800.

The previous prime is 2013002111. The next prime is 2013002137. The reversal of 2013002112 is 2112003102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013002111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123258 + ... + 138630.

It is an arithmetic number, because the mean of its divisors is an integer number (47044440).

Almost surely, 2^2013002112 is an apocalyptic number.

2013002112 is a gapful number since it is divisible by the number (22) 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 2013002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010844160).

2013002112 is an abundant number, since it is smaller than the sum of its proper divisors (4008686208).

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

2013002112 is a wasteful number, since it uses less digits than its factorization.

2013002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15432 (or 15420 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2013002112 is about 44866.4920848510. The cubic root of 2013002112 is about 1262.6454270538.

Adding to 2013002112 its reverse (2112003102), we get a palindrome (4125005214).

The spelling of 2013002112 in words is "two billion, thirteen million, two thousand, one hundred twelve".