10000313011441 has 2 divisors, whose sum is σ = 10000313011442. Its totient is φ = 10000313011440.

The previous prime is 10000313011417. The next prime is 10000313011463. The reversal of 10000313011441 is 14411031300001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7865382911841 + 2134930099600 = 2804529^2 + 1461140^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000313011441 - 2²⁷ = 10000178793713 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000313011411) 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, 5000156505720 + 5000156505721.

It is an arithmetic number, because the mean of its divisors is an integer number (5000156505721).

Almost surely, 2^{10000313011441} is an apocalyptic number.

It is an amenable number.

10000313011441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000313011441 is an equidigital number, since it uses as much as digits as its factorization.

10000313011441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10000313011441 its reverse (14411031300001), we get a palindrome (24411344311442).

The spelling of 10000313011441 in words is "ten trillion, three hundred thirteen million, eleven thousand, four hundred forty-one".