2013088133 has 32 divisors (see below), whose sum is σ = 2675773440. Its totient is φ = 1471599360.

The previous prime is 2013088111. The next prime is 2013088139. The reversal of 2013088133 is 3318803102.

It is not a de Polignac number, because 2013088133 - 2⁸ = 2013087877 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013088096 and 2013088105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013088139) 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 31 ways as a sum of consecutive naturals, for example, 32648 + ... + 71358.

It is an arithmetic number, because the mean of its divisors is an integer number (83617920).

Almost surely, 2^2013088133 is an apocalyptic number.

2013088133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2013088133 is a deficient number, since it is larger than the sum of its proper divisors (662685307).

2013088133 is a wasteful number, since it uses less digits than its factorization.

2013088133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38777.

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 2013088133 is about 44867.4507076121. The cubic root of 2013088133 is about 1262.6634122105.

The spelling of 2013088133 in words is "two billion, thirteen million, eighty-eight thousand, one hundred thirty-three".