13171970921041 has 9 divisors (see below), whose sum is σ = 13641948092721. Its totient is φ = 12717663406224.

The previous prime is 13171970920991. The next prime is 13171970921051. The reversal of 13171970921041 is 14012907917131.

The square root of 13171970921041 is 3629321.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 124271055441 + 13047699865600 = 352521^2 + 3612160^2 .

It is not a de Polignac number, because 13171970921041 - 2³³ = 13163380986449 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13171970920982 and 13171970921000.

It is not an unprimeable number, because it can be changed into a prime (13171970921051) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 105187735 + ... + 105312883.

Almost surely, 2^{13171970921041} is an apocalyptic number.

13171970921041 is the 3629321-st square number.

13171970921041 is the 1814661-st centered octagonal number.

It is an amenable number.

13171970921041 is a deficient number, since it is larger than the sum of its proper divisors (469977171680).

13171970921041 is an frugal number, since it uses more digits than its factorization.

13171970921041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250356 (or 125178 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 46.

The spelling of 13171970921041 in words is "thirteen trillion, one hundred seventy-one billion, nine hundred seventy million, nine hundred twenty-one thousand, forty-one".