13183587308241 has 81 divisors (see below), whose sum is σ = 22771771346961. Its totient is φ = 7328302377984.

The previous prime is 13183587308189. The next prime is 13183587308251. The reversal of 13183587308241 is 14280378538131.

The square root of 13183587308241 is 3630921.

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

13183587308241 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 3 + 587 + 30 + 8 + 24 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9751386443841 + 3432200864400 = 3122721^2 + 1852620^2 .

It is not a de Polignac number, because 13183587308241 - 2¹⁵ = 13183587275473 is a prime.

It is a super-3 number, since 3×13183587308241³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13183587308251) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2821223281 + ... + 2821227953.

Almost surely, 2^{13183587308241} is an apocalyptic number.

13183587308241 is the 3630921-st square number.

13183587308241 is the 1815461-st centered octagonal number.

It is an amenable number.

13183587308241 is a deficient number, since it is larger than the sum of its proper divisors (9588184038720).

13183587308241 is an frugal number, since it uses more digits than its factorization.

13183587308241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9440 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 13183587308241 in words is "thirteen trillion, one hundred eighty-three billion, five hundred eighty-seven million, three hundred eight thousand, two hundred forty-one".