23322331013101 has 2 divisors, whose sum is σ = 23322331013102. Its totient is φ = 23322331013100.

The previous prime is 23322331013081. The next prime is 23322331013119. The reversal of 23322331013101 is 10131013322332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16720951443876 + 6601379569225 = 4089126^2 + 2569315^2 .

It is a cyclic number.

It is not a de Polignac number, because 23322331013101 - 2¹⁹ = 23322330488813 is a prime.

It is a super-2 number, since 2×23322331013101² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23322331013161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11661165506550 + 11661165506551.

It is an arithmetic number, because the mean of its divisors is an integer number (11661165506551).

Almost surely, 2^{23322331013101} is an apocalyptic number.

It is an amenable number.

23322331013101 is a deficient number, since it is larger than the sum of its proper divisors (1).

23322331013101 is an equidigital number, since it uses as much as digits as its factorization.

23322331013101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 23322331013101 its reverse (10131013322332), we get a palindrome (33453344335433).

The spelling of 23322331013101 in words is "twenty-three trillion, three hundred twenty-two billion, three hundred thirty-one million, thirteen thousand, one hundred one".