13381819500000 has 672 divisors, whose sum is σ = 51034071755520. Its totient is φ = 3006720000000.

The previous prime is 13381819499999. The next prime is 13381819500041. The reversal of 13381819500000 is 591818331.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 619489200 + ... + 619510800.

It is an arithmetic number, because the mean of its divisors is an integer number (75943559160).

Almost surely, 2^{13381819500000} is an apocalyptic number.

13381819500000 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 13381819500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25517035877760).

13381819500000 is an abundant number, since it is smaller than the sum of its proper divisors (37652252255520).

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

13381819500000 is an frugal number, since it uses more digits than its factorization.

13381819500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21710 (or 21677 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 13381819500000 in words is "thirteen trillion, three hundred eighty-one billion, eight hundred nineteen million, five hundred thousand".