2013011004 has 72 divisors (see below), whose sum is σ = 5003284608. Its totient is φ = 629799680.

The previous prime is 2013011003. The next prime is 2013011051. The reversal of 2013011004 is 4001103102.

It is a happy number.

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 (2013011003) 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, 1951969 + ... + 1952999.

It is an arithmetic number, because the mean of its divisors is an integer number (69490064).

Almost surely, 2^2013011004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013011004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501642304).

2013011004 is an abundant number, since it is smaller than the sum of its proper divisors (2990273604).

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

2013011004 is a wasteful number, since it uses less digits than its factorization.

2013011004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1616 counting only the distinct ones).

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

The square root of 2013011004 is about 44866.5911787379. The cubic root of 2013011004 is about 1262.6472862051.

Adding to 2013011004 its reverse (4001103102), we get a palindrome (6014114106).

The spelling of 2013011004 in words is "two billion, thirteen million, eleven thousand, four".