66013045121 has 2 divisors, whose sum is σ = 66013045122. Its totient is φ = 66013045120.

The previous prime is 66013045099. The next prime is 66013045123. The reversal of 66013045121 is 12154031066.

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., 65979114496 + 33930625 = 256864^2 + 5825^2 .

It is a cyclic number.

It is not a de Polignac number, because 66013045121 - 2⁶ = 66013045057 is a prime.

It is a super-2 number, since 2×66013045121² (a number of 22 digits) contains 22 as substring.

Together with 66013045123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (66013045123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33006522560 + 33006522561.

It is an arithmetic number, because the mean of its divisors is an integer number (33006522561).

Almost surely, 2^66013045121 is an apocalyptic number.

It is an amenable number.

66013045121 is a deficient number, since it is larger than the sum of its proper divisors (1).

66013045121 is an equidigital number, since it uses as much as digits as its factorization.

66013045121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 66013045121 its reverse (12154031066), we get a palindrome (78167076187).

The spelling of 66013045121 in words is "sixty-six billion, thirteen million, forty-five thousand, one hundred twenty-one".