10331012010961 has 2 divisors, whose sum is σ = 10331012010962. Its totient is φ = 10331012010960.

The previous prime is 10331012010941. The next prime is 10331012011009. The reversal of 10331012010961 is 16901021013301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10316526444225 + 14485566736 = 3211935^2 + 120356^2 .

It is a cyclic number.

It is not a de Polignac number, because 10331012010961 - 2¹⁷ = 10331011879889 is a prime.

It is not a weakly prime, because it can be changed into another prime (10331012010941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5165506005480 + 5165506005481.

It is an arithmetic number, because the mean of its divisors is an integer number (5165506005481).

Almost surely, 2^{10331012010961} is an apocalyptic number.

It is an amenable number.

10331012010961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10331012010961 is an equidigital number, since it uses as much as digits as its factorization.

10331012010961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 28.

The spelling of 10331012010961 in words is "ten trillion, three hundred thirty-one billion, twelve million, ten thousand, nine hundred sixty-one".