23111342400401 has 2 divisors, whose sum is σ = 23111342400402. Its totient is φ = 23111342400400.

The previous prime is 23111342400389. The next prime is 23111342400407. The reversal of 23111342400401 is 10400424311132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22828557749776 + 282784650625 = 4777924^2 + 531775^2 .

It is a cyclic number.

It is not a de Polignac number, because 23111342400401 - 2¹⁴ = 23111342384017 is a prime.

It is not a weakly prime, because it can be changed into another prime (23111342400407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11555671200200 + 11555671200201.

It is an arithmetic number, because the mean of its divisors is an integer number (11555671200201).

Almost surely, 2^{23111342400401} is an apocalyptic number.

It is an amenable number.

23111342400401 is a deficient number, since it is larger than the sum of its proper divisors (1).

23111342400401 is an equidigital number, since it uses as much as digits as its factorization.

23111342400401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 23111342400401 its reverse (10400424311132), we get a palindrome (33511766711533).

The spelling of 23111342400401 in words is "twenty-three trillion, one hundred eleven billion, three hundred forty-two million, four hundred thousand, four hundred one".