13105333976641 has 3 divisors (see below), whose sum is σ = 13105337596771. Its totient is φ = 13105330356512.

The previous prime is 13105333976597. The next prime is 13105333976689. The reversal of 13105333976641 is 14667933350131.

The square root of 13105333976641 is 3620129.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 7264798418241 + 5840535558400 = 2695329^2 + 2416720^2 .

It is not a de Polignac number, because 13105333976641 - 2¹⁹ = 13105333452353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13105330976641) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1810065 + ... + 5430193.

Almost surely, 2^{13105333976641} is an apocalyptic number.

13105333976641 is the 3620129-th square number.

13105333976641 is the 1810065-th centered octagonal number.

It is an amenable number.

13105333976641 is a deficient number, since it is larger than the sum of its proper divisors (3620130).

13105333976641 is an frugal number, since it uses more digits than its factorization.

13105333976641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7240258 (or 3620129 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 52.

The spelling of 13105333976641 in words is "thirteen trillion, one hundred five billion, three hundred thirty-three million, nine hundred seventy-six thousand, six hundred forty-one".