2133112013 has 2 divisors, whose sum is σ = 2133112014. Its totient is φ = 2133112012.

The previous prime is 2133111949. The next prime is 2133112063. The reversal of 2133112013 is 3102113312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1789120804 + 343991209 = 42298^2 + 18547^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133112013 - 2⁶ = 2133111949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2133111982 and 2133112000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2133112063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1066556006 + 1066556007.

It is an arithmetic number, because the mean of its divisors is an integer number (1066556007).

Almost surely, 2^2133112013 is an apocalyptic number.

It is an amenable number.

2133112013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133112013 is an equidigital number, since it uses as much as digits as its factorization.

2133112013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 2133112013 is about 46185.6256101398. The cubic root of 2133112013 is about 1287.2746607612.

Adding to 2133112013 its reverse (3102113312), we get a palindrome (5235225325).

The spelling of 2133112013 in words is "two billion, one hundred thirty-three million, one hundred twelve thousand, thirteen".