2231133137 has 2 divisors, whose sum is σ = 2231133138. Its totient is φ = 2231133136.

The previous prime is 2231133119. The next prime is 2231133139. The reversal of 2231133137 is 7313311322.

2231133137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1574184976 + 656948161 = 39676^2 + 25631^2 .

It is a cyclic number.

It is not a de Polignac number, because 2231133137 - 2²⁰ = 2230084561 is a prime.

It is a super-3 number, since 3×2231133137³ (a number of 29 digits) contains 333 as substring.

Together with 2231133139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2231133139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1115566568 + 1115566569.

It is an arithmetic number, because the mean of its divisors is an integer number (1115566569).

Almost surely, 2^2231133137 is an apocalyptic number.

It is an amenable number.

2231133137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231133137 is an equidigital number, since it uses as much as digits as its factorization.

2231133137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2268, while the sum is 26.

The square root of 2231133137 is about 47234.8720438618. The cubic root of 2231133137 is about 1306.6978067325.

Adding to 2231133137 its reverse (7313311322), we get a palindrome (9544444459).

The spelling of 2231133137 in words is "two billion, two hundred thirty-one million, one hundred thirty-three thousand, one hundred thirty-seven".