21013302011137 has 2 divisors, whose sum is σ = 21013302011138. Its totient is φ = 21013302011136.

The previous prime is 21013302011099. The next prime is 21013302011173. The reversal of 21013302011137 is 73111020331012.

Together with next prime (21013302011173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20019620000241 + 993682010896 = 4474329^2 + 996836^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21013302011137 is a prime.

It is a super-2 number, since 2×21013302011137² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21013302011237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10506651005568 + 10506651005569.

It is an arithmetic number, because the mean of its divisors is an integer number (10506651005569).

Almost surely, 2^{21013302011137} is an apocalyptic number.

It is an amenable number.

21013302011137 is a deficient number, since it is larger than the sum of its proper divisors (1).

21013302011137 is an equidigital number, since it uses as much as digits as its factorization.

21013302011137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 25.

Adding to 21013302011137 its reverse (73111020331012), we get a palindrome (94124322342149).

The spelling of 21013302011137 in words is "twenty-one trillion, thirteen billion, three hundred two million, eleven thousand, one hundred thirty-seven".