13351288320 has 600 divisors, whose sum is σ = 50149939752. Its totient is φ = 3394068480.

The previous prime is 13351288243. The next prime is 13351288381. The reversal of 13351288320 is 2388215331.

It is a happy number.

13351288320 is a `hidden beast` number, since 1 + 3 + 3 + 51 + 288 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 199272927 + ... + 199272993.

Almost surely, 2^13351288320 is an apocalyptic number.

13351288320 is a gapful number since it is divisible by the number (10) 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 13351288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25074969876).

13351288320 is an abundant number, since it is smaller than the sum of its proper divisors (36798651432).

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

13351288320 is an frugal number, since it uses more digits than its factorization.

13351288320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13351288320 in words is "thirteen billion, three hundred fifty-one million, two hundred eighty-eight thousand, three hundred twenty".