2011122111133 has 2 divisors, whose sum is σ = 2011122111134. Its totient is φ = 2011122111132.

The previous prime is 2011122111091. The next prime is 2011122111151. The reversal of 2011122111133 is 3311112211102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1878333293529 + 132788817604 = 1370523^2 + 364402^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2011122111133 is a prime.

It is a super-2 number, since 2×2011122111133² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2011122111133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011122111433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005561055566 + 1005561055567.

It is an arithmetic number, because the mean of its divisors is an integer number (1005561055567).

Almost surely, 2^{2011122111133} is an apocalyptic number.

It is an amenable number.

2011122111133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011122111133 is an equidigital number, since it uses as much as digits as its factorization.

2011122111133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 2011122111133 its reverse (3311112211102), we get a palindrome (5322234322235).

The spelling of 2011122111133 in words is "two trillion, eleven billion, one hundred twenty-two million, one hundred eleven thousand, one hundred thirty-three".