13116433729 has 9 divisors (see below), whose sum is σ = 15258824931. Its totient is φ = 11241970320.

The previous prime is 13116433709. The next prime is 13116433739. The reversal of 13116433729 is 92733461131.

The square root of 13116433729 is 114527.

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., 4987608129 + 8128825600 = 70623^2 + 90160^2 .

It is not a de Polignac number, because 13116433729 - 2⁷ = 13116433601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13116433691 and 13116433700.

It is not an unprimeable number, because it can be changed into a prime (13116433709) 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, 793509 + ... + 809869.

Almost surely, 2^13116433729 is an apocalyptic number.

13116433729 is the 114527-th square number.

13116433729 is the 57264-th centered octagonal number.

It is an amenable number.

13116433729 is a deficient number, since it is larger than the sum of its proper divisors (2142391202).

13116433729 is an frugal number, since it uses more digits than its factorization.

13116433729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32736 (or 16368 counting only the distinct ones).

The product of its digits is 81648, while the sum is 40.

The spelling of 13116433729 in words is "thirteen billion, one hundred sixteen million, four hundred thirty-three thousand, seven hundred twenty-nine".