13000788441 has 63 divisors (see below), whose sum is σ = 20175139407. Its totient is φ = 8373702240.

The previous prime is 13000788413. The next prime is 13000788443. The reversal of 13000788441 is 14488700031.

The square root of 13000788441 is 114021.

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

13000788441 is a `hidden beast` number, since 130 + 0 + 0 + 7 + 88 + 441 = 666.

It can be written as a sum of positive squares in only one way, i.e., 626450841 + 12374337600 = 25029^2 + 111240^2 .

It is not a de Polignac number, because 13000788441 - 2⁷ = 13000788313 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13000788396 and 13000788405.

It is not an unprimeable number, because it can be changed into a prime (13000788443) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 126221196 + ... + 126221298.

Almost surely, 2^13000788441 is an apocalyptic number.

13000788441 is the 114021-st square number.

13000788441 is the 57011-st centered octagonal number.

It is an amenable number.

13000788441 is a deficient number, since it is larger than the sum of its proper divisors (7174350966).

13000788441 is an frugal number, since it uses more digits than its factorization.

13000788441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Multiplying 13000788441 by its sum of digits (36), we get a square (468028383876 = 684126²).

The spelling of 13000788441 in words is "thirteen billion, seven hundred eighty-eight thousand, four hundred forty-one".