2013133728 has 24 divisors (see below), whose sum is σ = 5284476288. Its totient is φ = 671044544.

The previous prime is 2013133721. The next prime is 2013133757. The reversal of 2013133728 is 8273313102.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×2013133728³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2013133695 and 2013133704.

It is not an unprimeable number, because it can be changed into a prime (2013133721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10484976 + ... + 10485167.

It is an arithmetic number, because the mean of its divisors is an integer number (220186512).

Almost surely, 2^2013133728 is an apocalyptic number.

It is an amenable number.

2013133728 is an abundant number, since it is smaller than the sum of its proper divisors (3271342560).

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

2013133728 is a wasteful number, since it uses less digits than its factorization.

2013133728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20970156 (or 20970148 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2013133728 is about 44867.9588124978. The cubic root of 2013133728 is about 1262.6729449449.

The spelling of 2013133728 in words is "two billion, thirteen million, one hundred thirty-three thousand, seven hundred twenty-eight".