13038496128000 has 3520 divisors, whose sum is σ = 59290418423808. Its totient is φ = 2785325875200.

The previous prime is 13038496127861. The next prime is 13038496128013. The reversal of 13038496128000 is 82169483031.

13038496128000 is a `hidden beast` number, since 1 + 3 + 0 + 38 + 496 + 128 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 121855103947 + ... + 121855104053.

Almost surely, 2^{13038496128000} is an apocalyptic number.

13038496128000 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 13038496128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29645209211904).

13038496128000 is an abundant number, since it is smaller than the sum of its proper divisors (46251922295808).

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

13038496128000 is a wasteful number, since it uses less digits than its factorization.

13038496128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 13038496128000 in words is "thirteen trillion, thirty-eight billion, four hundred ninety-six million, one hundred twenty-eight thousand".