10130313311777 has 2 divisors, whose sum is σ = 10130313311778. Its totient is φ = 10130313311776.

The previous prime is 10130313311761. The next prime is 10130313311831. The reversal of 10130313311777 is 77711331303101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5905113841936 + 4225199469841 = 2430044^2 + 2055529^2 .

It is a cyclic number.

It is not a de Polignac number, because 10130313311777 - 2⁴ = 10130313311761 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10130313311777.

It is not a weakly prime, because it can be changed into another prime (10130393311777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065156655888 + 5065156655889.

It is an arithmetic number, because the mean of its divisors is an integer number (5065156655889).

Almost surely, 2^{10130313311777} is an apocalyptic number.

It is an amenable number.

10130313311777 is a deficient number, since it is larger than the sum of its proper divisors (1).

10130313311777 is an equidigital number, since it uses as much as digits as its factorization.

10130313311777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27783, while the sum is 38.

Adding to 10130313311777 its reverse (77711331303101), we get a palindrome (87841644614878).

The spelling of 10130313311777 in words is "ten trillion, one hundred thirty billion, three hundred thirteen million, three hundred eleven thousand, seven hundred seventy-seven".