13300120120961 has 2 divisors, whose sum is σ = 13300120120962. Its totient is φ = 13300120120960.

The previous prime is 13300120120949. The next prime is 13300120121009. The reversal of 13300120120961 is 16902102100331.

13300120120961 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., 8232079105600 + 5068041015361 = 2869160^2 + 2251231^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13300120120961 is a prime.

It is not a weakly prime, because it can be changed into another prime (13300120320961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6650060060480 + 6650060060481.

It is an arithmetic number, because the mean of its divisors is an integer number (6650060060481).

Almost surely, 2^{13300120120961} is an apocalyptic number.

It is an amenable number.

13300120120961 is a deficient number, since it is larger than the sum of its proper divisors (1).

13300120120961 is an equidigital number, since it uses as much as digits as its factorization.

13300120120961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 13300120120961 in words is "thirteen trillion, three hundred billion, one hundred twenty million, one hundred twenty thousand, nine hundred sixty-one".