2011133013 has 16 divisors (see below), whose sum is σ = 2704104000. Its totient is φ = 1329489920.

The previous prime is 2011132993. The next prime is 2011133021. The reversal of 2011133013 is 3103311102.

It is a cyclic number.

It is not a de Polignac number, because 2011133013 - 2¹⁴ = 2011116629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2011132983 and 2011133001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011137013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283018 + ... + 290036.

It is an arithmetic number, because the mean of its divisors is an integer number (169006500).

Almost surely, 2^2011133013 is an apocalyptic number.

It is an amenable number.

2011133013 is a deficient number, since it is larger than the sum of its proper divisors (692970987).

2011133013 is a wasteful number, since it uses less digits than its factorization.

2011133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7812.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 2011133013 is about 44845.6576827679. The cubic root of 2011133013 is about 1262.2545117303.

Adding to 2011133013 its reverse (3103311102), we get a palindrome (5114444115).

The spelling of 2011133013 in words is "two billion, eleven million, one hundred thirty-three thousand, thirteen".