1328811513120 has 1152 divisors, whose sum is σ = 5841262522368. Its totient is φ = 267544166400.

The previous prime is 1328811513109. The next prime is 1328811513137. The reversal of 1328811513120 is 213151188231.

1328811513120 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 8 + 11 + 513 + 120 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 296541280 + ... + 296545760.

It is an arithmetic number, because the mean of its divisors is an integer number (5070540384).

Almost surely, 2^{1328811513120} is an apocalyptic number.

1328811513120 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 1328811513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920631261184).

1328811513120 is an abundant number, since it is smaller than the sum of its proper divisors (4512451009248).

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

1328811513120 is a wasteful number, since it uses less digits than its factorization.

1328811513120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4626 (or 4615 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 1328811513120 in words is "one trillion, three hundred twenty-eight billion, eight hundred eleven million, five hundred thirteen thousand, one hundred twenty".