13088243269056 has 112 divisors (see below), whose sum is σ = 35817459406848. Its totient is φ = 4213619328000.

The previous prime is 13088243269051. The next prime is 13088243269133. The reversal of 13088243269056 is 65096234288031.

It is a super-2 number, since 2×13088243269056² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13088243268987 and 13088243269005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13088243269051) 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 15 ways as a sum of consecutive naturals, for example, 808006 + ... + 5179706.

It is an arithmetic number, because the mean of its divisors is an integer number (319798744704).

Almost surely, 2^{13088243269056} is an apocalyptic number.

13088243269056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13088243269056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17908729703424).

13088243269056 is an abundant number, since it is smaller than the sum of its proper divisors (22729216137792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13088243269056 is a wasteful number, since it uses less digits than its factorization.

13088243269056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372250 (or 4372240 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 13088243269056 in words is "thirteen trillion, eighty-eight billion, two hundred forty-three million, two hundred sixty-nine thousand, fifty-six".