23313101014121 has 2 divisors, whose sum is σ = 23313101014122. Its totient is φ = 23313101014120.

The previous prime is 23313101014069. The next prime is 23313101014123. The reversal of 23313101014121 is 12141010131332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18980521208896 + 4332579805225 = 4356664^2 + 2081485^2 .

It is a cyclic number.

It is not a de Polignac number, because 23313101014121 - 2³⁸ = 23038223107177 is a prime.

Together with 23313101014123, 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 (23313101014123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11656550507060 + 11656550507061.

It is an arithmetic number, because the mean of its divisors is an integer number (11656550507061).

Almost surely, 2^{23313101014121} is an apocalyptic number.

It is an amenable number.

23313101014121 is a deficient number, since it is larger than the sum of its proper divisors (1).

23313101014121 is an equidigital number, since it uses as much as digits as its factorization.

23313101014121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 23313101014121 its reverse (12141010131332), we get a palindrome (35454111145453).

The spelling of 23313101014121 in words is "twenty-three trillion, three hundred thirteen billion, one hundred one million, fourteen thousand, one hundred twenty-one".