13202122121137 has 2 divisors, whose sum is σ = 13202122121138. Its totient is φ = 13202122121136.

The previous prime is 13202122121093. The next prime is 13202122121179. The reversal of 13202122121137 is 73112122120231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11137064026176 + 2065058094961 = 3337224^2 + 1437031^2 .

It is an emirp because it is prime and its reverse (73112122120231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13202122121137 - 2³¹ = 13199974637489 is a prime.

It is not a weakly prime, because it can be changed into another prime (13202722121137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6601061060568 + 6601061060569.

It is an arithmetic number, because the mean of its divisors is an integer number (6601061060569).

Almost surely, 2^{13202122121137} is an apocalyptic number.

It is an amenable number.

13202122121137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13202122121137 is an equidigital number, since it uses as much as digits as its factorization.

13202122121137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 28.

Adding to 13202122121137 its reverse (73112122120231), we get a palindrome (86314244241368).

The spelling of 13202122121137 in words is "thirteen trillion, two hundred two billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred thirty-seven".