125133736121 has 2 divisors, whose sum is σ = 125133736122. Its totient is φ = 125133736120.

The previous prime is 125133736027. The next prime is 125133736163. The reversal of 125133736121 is 121637331521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98759976121 + 26373760000 = 314261^2 + 162400^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-125133736121 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (125133736171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62566868060 + 62566868061.

It is an arithmetic number, because the mean of its divisors is an integer number (62566868061).

Almost surely, 2^125133736121 is an apocalyptic number.

It is an amenable number.

125133736121 is a deficient number, since it is larger than the sum of its proper divisors (1).

125133736121 is an equidigital number, since it uses as much as digits as its factorization.

125133736121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22680, while the sum is 35.

The spelling of 125133736121 in words is "one hundred twenty-five billion, one hundred thirty-three million, seven hundred thirty-six thousand, one hundred twenty-one".