2013042114 has 48 divisors (see below), whose sum is σ = 4629125592. Its totient is φ = 630042624.

The previous prime is 2013042113. The next prime is 2013042127. The reversal of 2013042114 is 4112403102.

2013042114 is a `hidden beast` number, since 201 + 30 + 421 + 14 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1974291489 + 38750625 = 44433^2 + 6225^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2013042113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124902 + ... + 140094.

Almost surely, 2^2013042114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013042114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314562796).

2013042114 is an abundant number, since it is smaller than the sum of its proper divisors (2616083478).

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

2013042114 is a wasteful number, since it uses less digits than its factorization.

2013042114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15651 (or 15648 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2013042114 is about 44866.9378718896. The cubic root of 2013042114 is about 1262.6537906827.

Adding to 2013042114 its reverse (4112403102), we get a palindrome (6125445216).

The spelling of 2013042114 in words is "two billion, thirteen million, forty-two thousand, one hundred fourteen".