11513423022401 has 2 divisors, whose sum is σ = 11513423022402. Its totient is φ = 11513423022400.

The previous prime is 11513423022349. The next prime is 11513423022403. The reversal of 11513423022401 is 10422032431511.

It is a happy number.

11513423022401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11399057310001 + 114365712400 = 3376249^2 + 338180^2 .

It is a cyclic number.

It is not a de Polignac number, because 11513423022401 - 2⁶ = 11513423022337 is a prime.

Together with 11513423022403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (11513423022403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5756711511200 + 5756711511201.

It is an arithmetic number, because the mean of its divisors is an integer number (5756711511201).

Almost surely, 2^{11513423022401} is an apocalyptic number.

It is an amenable number.

11513423022401 is a deficient number, since it is larger than the sum of its proper divisors (1).

11513423022401 is an equidigital number, since it uses as much as digits as its factorization.

11513423022401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 11513423022401 its reverse (10422032431511), we get a palindrome (21935455453912).

The spelling of 11513423022401 in words is "eleven trillion, five hundred thirteen billion, four hundred twenty-three million, twenty-two thousand, four hundred one".