103312300947577 has 2 divisors, whose sum is σ = 103312300947578. Its totient is φ = 103312300947576.

The previous prime is 103312300947491. The next prime is 103312300947599. The reversal of 103312300947577 is 775749003213301.

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., 103192765491456 + 119535456121 = 10158384^2 + 345739^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-103312300947577 is a prime.

It is not a weakly prime, because it can be changed into another prime (103312300944577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51656150473788 + 51656150473789.

It is an arithmetic number, because the mean of its divisors is an integer number (51656150473789).

Almost surely, 2^{103312300947577} is an apocalyptic number.

It is an amenable number.

103312300947577 is a deficient number, since it is larger than the sum of its proper divisors (1).

103312300947577 is an equidigital number, since it uses as much as digits as its factorization.

103312300947577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3333960, while the sum is 52.

The spelling of 103312300947577 in words is "one hundred three trillion, three hundred twelve billion, three hundred million, nine hundred forty-seven thousand, five hundred seventy-seven".