10011319961 has 2 divisors, whose sum is σ = 10011319962. Its totient is φ = 10011319960.

The previous prime is 10011319897. The next prime is 10011319993. The reversal of 10011319961 is 16991311001.

10011319961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (10011319993) can be obtained adding 10011319961 to its sum of digits (32).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9972019600 + 39300361 = 99860^2 + 6269^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011319961 - 2⁶ = 10011319897 is a prime.

It is not a weakly prime, because it can be changed into another prime (10011319561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005659980 + 5005659981.

It is an arithmetic number, because the mean of its divisors is an integer number (5005659981).

Almost surely, 2^10011319961 is an apocalyptic number.

It is an amenable number.

10011319961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011319961 is an equidigital number, since it uses as much as digits as its factorization.

10011319961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 32.

The spelling of 10011319961 in words is "ten billion, eleven million, three hundred nineteen thousand, nine hundred sixty-one".