23013122417101 has 2 divisors, whose sum is σ = 23013122417102. Its totient is φ = 23013122417100.

The previous prime is 23013122417053. The next prime is 23013122417107. The reversal of 23013122417101 is 10171422131032.

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., 18338727075876 + 4674395341225 = 4282374^2 + 2162035^2 .

It is a cyclic number.

It is not a de Polignac number, because 23013122417101 - 2³³ = 23004532482509 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23013122417101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23013122417107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11506561208550 + 11506561208551.

It is an arithmetic number, because the mean of its divisors is an integer number (11506561208551).

Almost surely, 2^{23013122417101} is an apocalyptic number.

It is an amenable number.

23013122417101 is a deficient number, since it is larger than the sum of its proper divisors (1).

23013122417101 is an equidigital number, since it uses as much as digits as its factorization.

23013122417101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2016, while the sum is 28.

Adding to 23013122417101 its reverse (10171422131032), we get a palindrome (33184544548133).

The spelling of 23013122417101 in words is "twenty-three trillion, thirteen billion, one hundred twenty-two million, four hundred seventeen thousand, one hundred one".