13331582279232 has 224 divisors, whose sum is σ = 40875525868800. Its totient is φ = 3755821105152.

The previous prime is 13331582279231. The next prime is 13331582279341. The reversal of 13331582279232 is 23297228513331.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (13331582279231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405087994 + ... + 405120902.

It is an arithmetic number, because the mean of its divisors is an integer number (182480026200).

Almost surely, 2^{13331582279232} is an apocalyptic number.

13331582279232 is a gapful number since it is divisible by the number (12) 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 13331582279232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20437762934400).

13331582279232 is an abundant number, since it is smaller than the sum of its proper divisors (27543943589568).

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

13331582279232 is a wasteful number, since it uses less digits than its factorization.

13331582279232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37133 (or 37123 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 51.

The spelling of 13331582279232 in words is "thirteen trillion, three hundred thirty-one billion, five hundred eighty-two million, two hundred seventy-nine thousand, two hundred thirty-two".