10311200311817 has 2 divisors, whose sum is σ = 10311200311818. Its totient is φ = 10311200311816.

The previous prime is 10311200311813. The next prime is 10311200311823. The reversal of 10311200311817 is 71811300211301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9378361132921 + 932839178896 = 3062411^2 + 965836^2 .

It is a cyclic number.

It is not a de Polignac number, because 10311200311817 - 2² = 10311200311813 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10311200311817.

It is not a weakly prime, because it can be changed into another prime (10311200311813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5155600155908 + 5155600155909.

It is an arithmetic number, because the mean of its divisors is an integer number (5155600155909).

Almost surely, 2^{10311200311817} is an apocalyptic number.

It is an amenable number.

10311200311817 is a deficient number, since it is larger than the sum of its proper divisors (1).

10311200311817 is an equidigital number, since it uses as much as digits as its factorization.

10311200311817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 29.

The spelling of 10311200311817 in words is "ten trillion, three hundred eleven billion, two hundred million, three hundred eleven thousand, eight hundred seventeen".