10973017312441 has 2 divisors, whose sum is σ = 10973017312442. Its totient is φ = 10973017312440.

The previous prime is 10973017312393. The next prime is 10973017312469. The reversal of 10973017312441 is 14421371037901.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9403268925625 + 1569748386816 = 3066475^2 + 1252896^2 .

It is a cyclic number.

It is not a de Polignac number, because 10973017312441 - 2⁴¹ = 8773994056889 is a prime.

It is a super-2 number, since 2×10973017312441² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10973017312471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5486508656220 + 5486508656221.

It is an arithmetic number, because the mean of its divisors is an integer number (5486508656221).

Almost surely, 2^{10973017312441} is an apocalyptic number.

It is an amenable number.

10973017312441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10973017312441 is an equidigital number, since it uses as much as digits as its factorization.

10973017312441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 127008, while the sum is 43.

The spelling of 10973017312441 in words is "ten trillion, nine hundred seventy-three billion, seventeen million, three hundred twelve thousand, four hundred forty-one".