13197827784961 has 4 divisors (see below), whose sum is σ = 13197841171924. Its totient is φ = 13197814398000.

The previous prime is 13197827784949. The next prime is 13197827785003. The reversal of 13197827784961 is 16948772879131.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 7035989671936 + 6161838113025 = 2652544^2 + 2482305^2 .

It is a cyclic number.

It is not a de Polignac number, because 13197827784961 - 2⁷ = 13197827784833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13197827781961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5085990 + ... + 7229311.

It is an arithmetic number, because the mean of its divisors is an integer number (3299460292981).

Almost surely, 2^{13197827784961} is an apocalyptic number.

It is an amenable number.

13197827784961 is a deficient number, since it is larger than the sum of its proper divisors (13386963).

13197827784961 is a wasteful number, since it uses less digits than its factorization.

13197827784961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13386962.

The product of its digits is 256048128, while the sum is 73.

The spelling of 13197827784961 in words is "thirteen trillion, one hundred ninety-seven billion, eight hundred twenty-seven million, seven hundred eighty-four thousand, nine hundred sixty-one".