2013133013 has 8 divisors (see below), whose sum is σ = 2142600408. Its totient is φ = 1884893184.

The previous prime is 2013132949. The next prime is 2013133019. The reversal of 2013133013 is 3103313102.

It can be written as a sum of positive squares in 4 ways, for example, as 974875729 + 1038257284 = 31223^2 + 32222^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2013133013 - 2⁶ = 2013132949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013132982 and 2013133000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013133019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303506 + ... + 310067.

It is an arithmetic number, because the mean of its divisors is an integer number (267825051).

Almost surely, 2^2013133013 is an apocalyptic number.

It is an amenable number.

2013133013 is a deficient number, since it is larger than the sum of its proper divisors (129467395).

2013133013 is a wasteful number, since it uses less digits than its factorization.

2013133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613783.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 2013133013 is about 44867.9508446731. The cubic root of 2013133013 is about 1262.6727954580.

Adding to 2013133013 its reverse (3103313102), we get a palindrome (5116446115).

The spelling of 2013133013 in words is "two billion, thirteen million, one hundred thirty-three thousand, thirteen".