13573131959441 has 2 divisors, whose sum is σ = 13573131959442. Its totient is φ = 13573131959440.

The previous prime is 13573131959393. The next prime is 13573131959479. The reversal of 13573131959441 is 14495913137531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11075850241600 + 2497281717841 = 3328040^2 + 1580279^2 .

It is a cyclic number.

It is not a de Polignac number, because 13573131959441 - 2¹⁰ = 13573131958417 is a prime.

It is a super-2 number, since 2×13573131959441² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13573131989441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6786565979720 + 6786565979721.

It is an arithmetic number, because the mean of its divisors is an integer number (6786565979721).

Almost surely, 2^{13573131959441} is an apocalyptic number.

It is an amenable number.

13573131959441 is a deficient number, since it is larger than the sum of its proper divisors (1).

13573131959441 is an equidigital number, since it uses as much as digits as its factorization.

13573131959441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6123600, while the sum is 56.

The spelling of 13573131959441 in words is "thirteen trillion, five hundred seventy-three billion, one hundred thirty-one million, nine hundred fifty-nine thousand, four hundred forty-one".