13300778241 has 27 divisors (see below), whose sum is σ = 19764541251. Its totient is φ = 8619228144.

The previous prime is 13300778233. The next prime is 13300778263. The reversal of 13300778241 is 14287700331.

The square root of 13300778241 is 115329.

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., 11901719025 + 1399059216 = 109095^2 + 37404^2 .

It is not a de Polignac number, because 13300778241 - 2³ = 13300778233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13300778196 and 13300778205.

It is not an unprimeable number, because it can be changed into a prime (13300778201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12801000 + ... + 12802038.

Almost surely, 2^13300778241 is an apocalyptic number.

13300778241 is the 115329-th square number.

13300778241 is the 57665-th centered octagonal number.

It is an amenable number.

13300778241 is a deficient number, since it is larger than the sum of its proper divisors (6463763010).

13300778241 is an frugal number, since it uses more digits than its factorization.

13300778241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Multiplying 13300778241 by its sum of digits (36), we get a square (478828016676 = 691974²).

Multiplying 13300778241 by its product of nonzero digits (28224), we get a square (375401165073984 = 19375272²).

The spelling of 13300778241 in words is "thirteen billion, three hundred million, seven hundred seventy-eight thousand, two hundred forty-one".