122131320131137 has 2 divisors, whose sum is σ = 122131320131138. Its totient is φ = 122131320131136.

The previous prime is 122131320131081. The next prime is 122131320131143. The reversal of 122131320131137 is 731131023131221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105174787986576 + 16956532144561 = 10255476^2 + 4117831^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122131320131137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122131320131099 and 122131320131108.

It is not a weakly prime, because it can be changed into another prime (122131320131237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61065660065568 + 61065660065569.

It is an arithmetic number, because the mean of its divisors is an integer number (61065660065569).

Almost surely, 2^{122131320131137} is an apocalyptic number.

It is an amenable number.

122131320131137 is a deficient number, since it is larger than the sum of its proper divisors (1).

122131320131137 is an equidigital number, since it uses as much as digits as its factorization.

122131320131137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 31.

Adding to 122131320131137 its reverse (731131023131221), we get a palindrome (853262343262358).

The spelling of 122131320131137 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, three hundred twenty million, one hundred thirty-one thousand, one hundred thirty-seven".