13034128852680 has 256 divisors, whose sum is σ = 44426696832000. Its totient is φ = 3032673426432.

The previous prime is 13034128852673. The next prime is 13034128852697. The reversal of 13034128852680 is 8625882143031.

It is a super-3 number, since 3×13034128852680³ (a number of 40 digits) contains 333 as substring.

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, 12634191 + ... + 13626849.

It is an arithmetic number, because the mean of its divisors is an integer number (173541784500).

Almost surely, 2^{13034128852680} is an apocalyptic number.

13034128852680 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 13034128852680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22213348416000).

13034128852680 is an abundant number, since it is smaller than the sum of its proper divisors (31392567979320).

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

13034128852680 is a wasteful number, since it uses less digits than its factorization.

13034128852680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993148 (or 993144 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 13034128852680 in words is "thirteen trillion, thirty-four billion, one hundred twenty-eight million, eight hundred fifty-two thousand, six hundred eighty".