13388572681 has 27 divisors (see below), whose sum is σ = 15035051367. Its totient is φ = 11913398640.

The previous prime is 13388572679. The next prime is 13388572697. The reversal of 13388572681 is 18627588331.

It is a happy number.

The square root of 13388572681 is 115709.

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., 3924396025 + 9464176656 = 62645^2 + 97284^2 .

It is not a de Polignac number, because 13388572681 - 2¹ = 13388572679 is a prime.

It is a super-2 number, since 2×13388572681² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13388572601) 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, 85277455 + ... + 85277611.

Almost surely, 2^13388572681 is an apocalyptic number.

13388572681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13388572681 is the 115709-th square number.

13388572681 is the 57855-th centered octagonal number.

It is an amenable number.

13388572681 is a deficient number, since it is larger than the sum of its proper divisors (1646478686).

13388572681 is an frugal number, since it uses more digits than its factorization.

13388572681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 235 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 52.

The spelling of 13388572681 in words is "thirteen billion, three hundred eighty-eight million, five hundred seventy-two thousand, six hundred eighty-one".