122735434513 has 2 divisors, whose sum is σ = 122735434514. Its totient is φ = 122735434512.

The previous prime is 122735434499. The next prime is 122735434517. The reversal of 122735434513 is 315434537221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65629729489 + 57105705024 = 256183^2 + 238968^2 .

It is a cyclic number.

It is not a de Polignac number, because 122735434513 - 2⁹ = 122735434001 is a prime.

It is not a weakly prime, because it can be changed into another prime (122735434517) 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, 61367717256 + 61367717257.

It is an arithmetic number, because the mean of its divisors is an integer number (61367717257).

Almost surely, 2^122735434513 is an apocalyptic number.

It is an amenable number.

122735434513 is a deficient number, since it is larger than the sum of its proper divisors (1).

122735434513 is an equidigital number, since it uses as much as digits as its factorization.

122735434513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 302400, while the sum is 40.

The spelling of 122735434513 in words is "one hundred twenty-two billion, seven hundred thirty-five million, four hundred thirty-four thousand, five hundred thirteen".