2011300011133 has 32 divisors (see below), whose sum is σ = 2412142189056. Its totient is φ = 1639692730368.

The previous prime is 2011300011121. The next prime is 2011300011181. The reversal of 2011300011133 is 3311100031102.

It is not a de Polignac number, because 2011300011133 - 2⁵ = 2011300011101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011300011533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70614691 + ... + 70643167.

It is an arithmetic number, because the mean of its divisors is an integer number (75379443408).

Almost surely, 2^{2011300011133} is an apocalyptic number.

2011300011133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2011300011133 is a deficient number, since it is larger than the sum of its proper divisors (400842177923).

2011300011133 is a wasteful number, since it uses less digits than its factorization.

2011300011133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30973.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 2011300011133 its reverse (3311100031102), we get a palindrome (5322400042235).

The spelling of 2011300011133 in words is "two trillion, eleven billion, three hundred million, eleven thousand, one hundred thirty-three".