13011985627369 has 27 divisors (see below), whose sum is σ = 14036236709943. Its totient is φ = 12059980794048.

The previous prime is 13011985627339. The next prime is 13011985627423. The reversal of 13011985627369 is 96372658911031.

It is a happy number.

The square root of 13011985627369 is 3607213.

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

It can be written as a sum of positive squares in only one way, i.e., 10130438637225 + 2881546990144 = 3182835^2 + 1697512^2 .

It is not a de Polignac number, because 13011985627369 - 2⁷ = 13011985627241 is a prime.

It is a super-2 number, since 2×13011985627369² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13011985627339) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4108614024 + ... + 4108617190.

Almost surely, 2^{13011985627369} is an apocalyptic number.

13011985627369 is the 3607213-rd square number.

13011985627369 is the 1803607-th centered octagonal number.

It is an amenable number.

13011985627369 is a deficient number, since it is larger than the sum of its proper divisors (1024251082574).

13011985627369 is an frugal number, since it uses more digits than its factorization.

13011985627369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6502 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 61.

The spelling of 13011985627369 in words is "thirteen trillion, eleven billion, nine hundred eighty-five million, six hundred twenty-seven thousand, three hundred sixty-nine".