123133530761 has 2 divisors, whose sum is σ = 123133530762. Its totient is φ = 123133530760.

The previous prime is 123133530703. The next prime is 123133530799. The reversal of 123133530761 is 167035331321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110976263161 + 12157267600 = 333131^2 + 110260^2 .

It is an emirp because it is prime and its reverse (167035331321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123133530761 - 2²⁶ = 123066421897 is a prime.

It is not a weakly prime, because it can be changed into another prime (123133530701) 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, 61566765380 + 61566765381.

It is an arithmetic number, because the mean of its divisors is an integer number (61566765381).

Almost surely, 2^123133530761 is an apocalyptic number.

It is an amenable number.

123133530761 is a deficient number, since it is larger than the sum of its proper divisors (1).

123133530761 is an equidigital number, since it uses as much as digits as its factorization.

123133530761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34020, while the sum is 35.

The spelling of 123133530761 in words is "one hundred twenty-three billion, one hundred thirty-three million, five hundred thirty thousand, seven hundred sixty-one".