13327219248 has 320 divisors, whose sum is σ = 43197235200. Its totient is φ = 3455723520.

The previous prime is 13327219219. The next prime is 13327219253. The reversal of 13327219248 is 84291272331.

It is a super-3 number, since 3×13327219248³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15442465 + ... + 15443327.

It is an arithmetic number, because the mean of its divisors is an integer number (134991360).

Almost surely, 2^13327219248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13327219248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21598617600).

13327219248 is an abundant number, since it is smaller than the sum of its proper divisors (29870015952).

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

13327219248 is a wasteful number, since it uses less digits than its factorization.

13327219248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 994 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The spelling of 13327219248 in words is "thirteen billion, three hundred twenty-seven million, two hundred nineteen thousand, two hundred forty-eight".