21114013116337 has 2 divisors, whose sum is σ = 21114013116338. Its totient is φ = 21114013116336.

The previous prime is 21114013116311. The next prime is 21114013116341. The reversal of 21114013116337 is 73361131041112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21107445472656 + 6567643681 = 4594284^2 + 81041^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21114013116337 is a prime.

It is not a weakly prime, because it can be changed into another prime (21114013116377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10557006558168 + 10557006558169.

It is an arithmetic number, because the mean of its divisors is an integer number (10557006558169).

Almost surely, 2^{21114013116337} is an apocalyptic number.

It is an amenable number.

21114013116337 is a deficient number, since it is larger than the sum of its proper divisors (1).

21114013116337 is an equidigital number, since it uses as much as digits as its factorization.

21114013116337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 34.

Adding to 21114013116337 its reverse (73361131041112), we get a palindrome (94475144157449).

The spelling of 21114013116337 in words is "twenty-one trillion, one hundred fourteen billion, thirteen million, one hundred sixteen thousand, three hundred thirty-seven".