13016718721161 has 27 divisors (see below), whose sum is σ = 19164218414887. Its totient is φ = 8513704951440.

The previous prime is 13016718721103. The next prime is 13016718721189. The reversal of 13016718721161 is 16112781761031.

The square root of 13016718721161 is 3607869.

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

13016718721161 is a `hidden beast` number, since 1 + 301 + 6 + 7 + 187 + 2 + 1 + 161 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9383714991225 + 3633003729936 = 3063285^2 + 1906044^2 .

It is not a de Polignac number, because 13016718721161 - 2²³ = 13016710332553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13016718731161) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 573639826 + ... + 573662516.

Almost surely, 2^{13016718721161} is an apocalyptic number.

13016718721161 is the 3607869-th square number.

13016718721161 is the 1803935-th centered octagonal number.

It is an amenable number.

13016718721161 is a deficient number, since it is larger than the sum of its proper divisors (6147499693726).

13016718721161 is an frugal number, since it uses more digits than its factorization.

13016718721161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45494 (or 22747 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 13016718721161 in words is "thirteen trillion, sixteen billion, seven hundred eighteen million, seven hundred twenty-one thousand, one hundred sixty-one".