21301123122113 has 2 divisors, whose sum is σ = 21301123122114. Its totient is φ = 21301123122112.

The previous prime is 21301123122079. The next prime is 21301123122133. The reversal of 21301123122113 is 31122132110312.

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., 16177183835569 + 5123939286544 = 4022087^2 + 2263612^2 .

It is a cyclic number.

It is not a de Polignac number, because 21301123122113 - 2⁶ = 21301123122049 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (21301123122133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10650561561056 + 10650561561057.

It is an arithmetic number, because the mean of its divisors is an integer number (10650561561057).

Almost surely, 2^{21301123122113} is an apocalyptic number.

It is an amenable number.

21301123122113 is a deficient number, since it is larger than the sum of its proper divisors (1).

21301123122113 is an equidigital number, since it uses as much as digits as its factorization.

21301123122113 is an evil number, because the sum of its binary digits is even.

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

Adding to 21301123122113 its reverse (31122132110312), we get a palindrome (52423255232425).

The spelling of 21301123122113 in words is "twenty-one trillion, three hundred one billion, one hundred twenty-three million, one hundred twenty-two thousand, one hundred thirteen".