13321242300288 has 128 divisors (see below), whose sum is σ = 38108270592000. Its totient is φ = 4098646702080.

The previous prime is 13321242300283. The next prime is 13321242300341. The reversal of 13321242300288 is 88200324212331.

13321242300288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321242300283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130295013 + ... + 130397211.

It is an arithmetic number, because the mean of its divisors is an integer number (297720864000).

Almost surely, 2^{13321242300288} is an apocalyptic number.

It is an amenable number.

13321242300288 is an abundant number, since it is smaller than the sum of its proper divisors (24787028291712).

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

13321242300288 is a wasteful number, since it uses less digits than its factorization.

13321242300288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128340 (or 128328 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 13321242300288 in words is "thirteen trillion, three hundred twenty-one billion, two hundred forty-two million, three hundred thousand, two hundred eighty-eight".