103313210083777 has 2 divisors, whose sum is σ = 103313210083778. Its totient is φ = 103313210083776.

The previous prime is 103313210083717. The next prime is 103313210083861. The reversal of 103313210083777 is 777380012313301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82275494101056 + 21037715982721 = 9070584^2 + 4586689^2 .

It is a cyclic number.

It is not a de Polignac number, because 103313210083777 - 2¹⁹ = 103313209559489 is a prime.

It is not a weakly prime, because it can be changed into another prime (103313210083717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51656605041888 + 51656605041889.

It is an arithmetic number, because the mean of its divisors is an integer number (51656605041889).

Almost surely, 2^{103313210083777} is an apocalyptic number.

It is an amenable number.

103313210083777 is a deficient number, since it is larger than the sum of its proper divisors (1).

103313210083777 is an equidigital number, since it uses as much as digits as its factorization.

103313210083777 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 444528, while the sum is 46.

The spelling of 103313210083777 in words is "one hundred three trillion, three hundred thirteen billion, two hundred ten million, eighty-three thousand, seven hundred seventy-seven".