10311200319361 has 2 divisors, whose sum is σ = 10311200319362. Its totient is φ = 10311200319360.

The previous prime is 10311200319359. The next prime is 10311200319373. The reversal of 10311200319361 is 16391300211301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8609529640000 + 1701670679361 = 2934200^2 + 1304481^2 .

It is a cyclic number.

It is not a de Polignac number, because 10311200319361 - 2¹ = 10311200319359 is a prime.

Together with 10311200319359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10311200319961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5155600159680 + 5155600159681.

It is an arithmetic number, because the mean of its divisors is an integer number (5155600159681).

Almost surely, 2^{10311200319361} is an apocalyptic number.

It is an amenable number.

10311200319361 is a deficient number, since it is larger than the sum of its proper divisors (1).

10311200319361 is an equidigital number, since it uses as much as digits as its factorization.

10311200319361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 31.

The spelling of 10311200319361 in words is "ten trillion, three hundred eleven billion, two hundred million, three hundred nineteen thousand, three hundred sixty-one".