10401310434241 has 2 divisors, whose sum is σ = 10401310434242. Its totient is φ = 10401310434240.

The previous prime is 10401310434197. The next prime is 10401310434299. The reversal of 10401310434241 is 14243401310401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9411028707600 + 990281726641 = 3067740^2 + 995129^2 .

It is a cyclic number.

It is not a de Polignac number, because 10401310434241 - 2¹³ = 10401310426049 is a prime.

It is not a weakly prime, because it can be changed into another prime (10401310434341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200655217120 + 5200655217121.

It is an arithmetic number, because the mean of its divisors is an integer number (5200655217121).

Almost surely, 2^{10401310434241} is an apocalyptic number.

It is an amenable number.

10401310434241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10401310434241 is an equidigital number, since it uses as much as digits as its factorization.

10401310434241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 10401310434241 its reverse (14243401310401), we get a palindrome (24644711744642).

The spelling of 10401310434241 in words is "ten trillion, four hundred one billion, three hundred ten million, four hundred thirty-four thousand, two hundred forty-one".