23331144120113 has 2 divisors, whose sum is σ = 23331144120114. Its totient is φ = 23331144120112.

The previous prime is 23331144120047. The next prime is 23331144120149. The reversal of 23331144120113 is 31102144113332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17694280492849 + 5636863627264 = 4206457^2 + 2374208^2 .

It is a cyclic number.

It is not a de Polignac number, because 23331144120113 - 2¹² = 23331144116017 is a prime.

It is a super-2 number, since 2×23331144120113² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (23331144120173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11665572060056 + 11665572060057.

It is an arithmetic number, because the mean of its divisors is an integer number (11665572060057).

Almost surely, 2^{23331144120113} is an apocalyptic number.

It is an amenable number.

23331144120113 is a deficient number, since it is larger than the sum of its proper divisors (1).

23331144120113 is an equidigital number, since it uses as much as digits as its factorization.

23331144120113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 23331144120113 its reverse (31102144113332), we get a palindrome (54433288233445).

The spelling of 23331144120113 in words is "twenty-three trillion, three hundred thirty-one billion, one hundred forty-four million, one hundred twenty thousand, one hundred thirteen".