13006777333081 has 27 divisors (see below), whose sum is σ = 15422783713533. Its totient is φ = 10937188866240.

The previous prime is 13006777333073. The next prime is 13006777333091. The reversal of 13006777333081 is 18033377760031.

The square root of 13006777333081 is 3606491.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1959902001225 + 11046875331856 = 1399965^2 + 3323684^2 .

It is not a de Polignac number, because 13006777333081 - 2³ = 13006777333073 is a prime.

It is a super-2 number, since 2×13006777333081² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (13006777333091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1338003301 + ... + 1338013021.

Almost surely, 2^{13006777333081} is an apocalyptic number.

13006777333081 is the 3606491-st square number.

13006777333081 is the 1803246-th centered octagonal number.

It is an amenable number.

13006777333081 is a deficient number, since it is larger than the sum of its proper divisors (2416006380452).

13006777333081 is an frugal number, since it uses more digits than its factorization.

13006777333081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19562 (or 9781 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 49.

Multiplying 13006777333081 by its sum of digits (49), we get a square (637332089320969 = 25245437²).

13006777333081 divided by its sum of digits (49) gives a square (265444435369 = 515213²).

The spelling of 13006777333081 in words is "thirteen trillion, six billion, seven hundred seventy-seven million, three hundred thirty-three thousand, eighty-one".