221131211132137 has 2 divisors, whose sum is σ = 221131211132138. Its totient is φ = 221131211132136.

The previous prime is 221131211132089. The next prime is 221131211132201. The reversal of 221131211132137 is 731231112131122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 203261450206441 + 17869760925696 = 14256979^2 + 4227264^2 .

It is a cyclic number.

It is not a de Polignac number, because 221131211132137 - 2³⁹ = 220581455318249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221131211132099 and 221131211132108.

It is not a weakly prime, because it can be changed into another prime (221131211132737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110565605566068 + 110565605566069.

It is an arithmetic number, because the mean of its divisors is an integer number (110565605566069).

Almost surely, 2^{221131211132137} is an apocalyptic number.

It is an amenable number.

221131211132137 is a deficient number, since it is larger than the sum of its proper divisors (1).

221131211132137 is an equidigital number, since it uses as much as digits as its factorization.

221131211132137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 31.

Adding to 221131211132137 its reverse (731231112131122), we get a palindrome (952362323263259).

The spelling of 221131211132137 in words is "two hundred twenty-one trillion, one hundred thirty-one billion, two hundred eleven million, one hundred thirty-two thousand, one hundred thirty-seven".