2011112013033 has 36 divisors (see below), whose sum is σ = 3161135358108. Its totient is φ = 1231096719360.

The previous prime is 2011112013023. The next prime is 2011112013037. The reversal of 2011112013033 is 3303102111102.

It can be written as a sum of positive squares in 6 ways, for example, as 106372517904 + 1904739495129 = 326148^2 + 1380123^2 .

It is not a de Polignac number, because 2011112013033 - 2¹⁶ = 2011111947497 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2011112012997 and 2011112013015.

It is not an unprimeable number, because it can be changed into a prime (2011112013037) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9322716 + ... + 9535997.

It is an arithmetic number, because the mean of its divisors is an integer number (87809315503).

Almost surely, 2^{2011112013033} is an apocalyptic number.

It is an amenable number.

2011112013033 is a deficient number, since it is larger than the sum of its proper divisors (1150023345075).

2011112013033 is a wasteful number, since it uses less digits than its factorization.

2011112013033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18858794 (or 18858774 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2011112013033 its reverse (3303102111102), we get a palindrome (5314214124135).

It can be divided in two parts, 201111 and 2013033, that added together give a square (2214144 = 1488²).

The spelling of 2011112013033 in words is "two trillion, eleven billion, one hundred twelve million, thirteen thousand, thirty-three".