13327020391104 has 672 divisors, whose sum is σ = 45480328298496. Its totient is φ = 3651070187520.

The previous prime is 13327020391081. The next prime is 13327020391123. The reversal of 13327020391104 is 40119302072331.

13327020391104 is a `hidden beast` number, since 1 + 332 + 7 + 0 + 203 + 9 + 110 + 4 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 7994612479 + ... + 7994614145.

It is an arithmetic number, because the mean of its divisors is an integer number (67679059968).

Almost surely, 2^{13327020391104} is an apocalyptic number.

13327020391104 is a gapful number since it is divisible by the number (14) 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 13327020391104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22740164149248).

13327020391104 is an abundant number, since it is smaller than the sum of its proper divisors (32153307907392).

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

13327020391104 is a wasteful number, since it uses less digits than its factorization.

13327020391104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 13327020391104 in words is "thirteen trillion, three hundred twenty-seven billion, twenty million, three hundred ninety-one thousand, one hundred four".