23333113011137 has 2 divisors, whose sum is σ = 23333113011138. Its totient is φ = 23333113011136.

The previous prime is 23333113011119. The next prime is 23333113011163. The reversal of 23333113011137 is 73111031133332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18715582474801 + 4617530536336 = 4326151^2 + 2148844^2 .

It is a cyclic number.

It is not a de Polignac number, because 23333113011137 - 2¹² = 23333113007041 is a prime.

It is not a weakly prime, because it can be changed into another prime (23333113011037) 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, 11666556505568 + 11666556505569.

It is an arithmetic number, because the mean of its divisors is an integer number (11666556505569).

Almost surely, 2^{23333113011137} is an apocalyptic number.

It is an amenable number.

23333113011137 is a deficient number, since it is larger than the sum of its proper divisors (1).

23333113011137 is an equidigital number, since it uses as much as digits as its factorization.

23333113011137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 32.

Adding to 23333113011137 its reverse (73111031133332), we get a palindrome (96444144144469).

The spelling of 23333113011137 in words is "twenty-three trillion, three hundred thirty-three billion, one hundred thirteen million, eleven thousand, one hundred thirty-seven".