13115059441 has 27 divisors (see below), whose sum is σ = 14971665163. Its totient is φ = 11479585040.

The previous prime is 13115059427. The next prime is 13115059481. The reversal of 13115059441 is 14495051131.

It is a happy number.

The square root of 13115059441 is 114521.

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., 6877219041 + 6237840400 = 82929^2 + 78980^2 .

It is not a de Polignac number, because 13115059441 - 2⁵ = 13115059409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13115059397 and 13115059406.

It is not an unprimeable number, because it can be changed into a prime (13115059421) 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, 36532020 + ... + 36532378.

Almost surely, 2^13115059441 is an apocalyptic number.

13115059441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13115059441 is the 114521-st square number.

13115059441 is the 57261-st centered octagonal number.

It is an amenable number.

13115059441 is a deficient number, since it is larger than the sum of its proper divisors (1856605722).

13115059441 is an frugal number, since it uses more digits than its factorization.

13115059441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The spelling of 13115059441 in words is "thirteen billion, one hundred fifteen million, fifty-nine thousand, four hundred forty-one".