223133112110137 has 2 divisors, whose sum is σ = 223133112110138. Its totient is φ = 223133112110136.

The previous prime is 223133112110101. The next prime is 223133112110141. The reversal of 223133112110137 is 731011211331322.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204295680585616 + 18837431524521 = 14293204^2 + 4340211^2 .

It is a cyclic number.

It is not a de Polignac number, because 223133112110137 - 2¹¹ = 223133112108089 is a prime.

It is a super-3 number, since 3×223133112110137³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223133112110099 and 223133112110108.

It is not a weakly prime, because it can be changed into another prime (223133112110197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111566556055068 + 111566556055069.

It is an arithmetic number, because the mean of its divisors is an integer number (111566556055069).

Almost surely, 2^{223133112110137} is an apocalyptic number.

It is an amenable number.

223133112110137 is a deficient number, since it is larger than the sum of its proper divisors (1).

223133112110137 is an equidigital number, since it uses as much as digits as its factorization.

223133112110137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 31.

Adding to 223133112110137 its reverse (731011211331322), we get a palindrome (954144323441459).

The spelling of 223133112110137 in words is "two hundred twenty-three trillion, one hundred thirty-three billion, one hundred twelve million, one hundred ten thousand, one hundred thirty-seven".