133013220123137 has 2 divisors, whose sum is σ = 133013220123138. Its totient is φ = 133013220123136.

The previous prime is 133013220123073. The next prime is 133013220123167. The reversal of 133013220123137 is 731321022310331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131911289149696 + 1101930973441 = 11485264^2 + 1049729^2 .

It is a cyclic number.

It is not a de Polignac number, because 133013220123137 - 2⁶ = 133013220123073 is a prime.

It is not a weakly prime, because it can be changed into another prime (133013220123167) 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, 66506610061568 + 66506610061569.

It is an arithmetic number, because the mean of its divisors is an integer number (66506610061569).

Almost surely, 2^{133013220123137} is an apocalyptic number.

It is an amenable number.

133013220123137 is a deficient number, since it is larger than the sum of its proper divisors (1).

133013220123137 is an equidigital number, since it uses as much as digits as its factorization.

133013220123137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 32.

Adding to 133013220123137 its reverse (731321022310331), we get a palindrome (864334242433468).

The spelling of 133013220123137 in words is "one hundred thirty-three trillion, thirteen billion, two hundred twenty million, one hundred twenty-three thousand, one hundred thirty-seven".