13128220560 has 320 divisors, whose sum is σ = 50613760512. Its totient is φ = 2740912128.

The previous prime is 13128220543. The next prime is 13128220603. The reversal of 13128220560 is 6502282131.

It is a super-3 number, since 3×13128220560³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2115382 + ... + 2121578.

Almost surely, 2^13128220560 is an apocalyptic number.

13128220560 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 13128220560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25306880256).

13128220560 is an abundant number, since it is smaller than the sum of its proper divisors (37485539952).

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

13128220560 is a wasteful number, since it uses less digits than its factorization.

13128220560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6330 (or 6324 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 13128220560 in words is "thirteen billion, one hundred twenty-eight million, two hundred twenty thousand, five hundred sixty".