23013122414101 has 8 divisors (see below), whose sum is σ = 23041944768024. Its totient is φ = 22984316029440.

The previous prime is 23013122414063. The next prime is 23013122414137. The reversal of 23013122414101 is 10141422131032.

It can be written as a sum of positive squares in 4 ways, for example, as 15084477247876 + 7928645166225 = 3883874^2 + 2815785^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 23013122414101 - 2⁴¹ = 20814099158549 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23013122417101) 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 in 7 ways as a sum of consecutive naturals, for example, 1107030 + ... + 6873991.

It is an arithmetic number, because the mean of its divisors is an integer number (2880243096003).

Almost surely, 2^{23013122414101} is an apocalyptic number.

It is an amenable number.

23013122414101 is a deficient number, since it is larger than the sum of its proper divisors (28822353923).

23013122414101 is a wasteful number, since it uses less digits than its factorization.

23013122414101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7984631.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 23013122414101 its reverse (10141422131032), we get a palindrome (33154544545133).

The spelling of 23013122414101 in words is "twenty-three trillion, thirteen billion, one hundred twenty-two million, four hundred fourteen thousand, one hundred one".