10311200319961 has 2 divisors, whose sum is σ = 10311200319962. Its totient is φ = 10311200319960.

The previous prime is 10311200319907. The next prime is 10311200320037. The reversal of 10311200319961 is 16991300211301.

10311200319961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5247489747600 + 5063710572361 = 2290740^2 + 2250269^2 .

It is a cyclic number.

It is not a de Polignac number, because 10311200319961 - 2²³ = 10311191931353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10311200319961.

It is not a weakly prime, because it can be changed into another prime (10311200319361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5155600159980 + 5155600159981.

It is an arithmetic number, because the mean of its divisors is an integer number (5155600159981).

Almost surely, 2^{10311200319961} is an apocalyptic number.

It is an amenable number.

10311200319961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10311200319961 is an equidigital number, since it uses as much as digits as its factorization.

10311200319961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8748, while the sum is 37.

The spelling of 10311200319961 in words is "ten trillion, three hundred eleven billion, two hundred million, three hundred nineteen thousand, nine hundred sixty-one".