2011121113 has 2 divisors, whose sum is σ = 2011121114. Its totient is φ = 2011121112.

The previous prime is 2011121107. The next prime is 2011121129. The reversal of 2011121113 is 3111211102.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1936264009 + 74857104 = 44003^2 + 8652^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011121113 - 2¹³ = 2011112921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2011121093 and 2011121102.

It is not a weakly prime, because it can be changed into another prime (2011121153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005560556 + 1005560557.

It is an arithmetic number, because the mean of its divisors is an integer number (1005560557).

Almost surely, 2^2011121113 is an apocalyptic number.

It is an amenable number.

2011121113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011121113 is an equidigital number, since it uses as much as digits as its factorization.

2011121113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 2011121113 is about 44845.5250052890. The cubic root of 2011121113 is about 1262.2520221124.

Adding to 2011121113 its reverse (3111211102), we get a palindrome (5122332215).

The spelling of 2011121113 in words is "two billion, eleven million, one hundred twenty-one thousand, one hundred thirteen".