2013513320448 has 192 divisors, whose sum is σ = 6816582864000. Its totient is φ = 575289409536.

The previous prime is 2013513320431. The next prime is 2013513320471. The reversal of 2013513320448 is 8440233153102.

2013513320448 is a `hidden beast` number, since 201 + 3 + 5 + 1 + 3 + 3 + 2 + 0 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 15 ways as a sum of consecutive naturals, for example, 2213883 + ... + 2988026.

It is an arithmetic number, because the mean of its divisors is an integer number (35503035750).

Almost surely, 2^{2013513320448} is an apocalyptic number.

2013513320448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2013513320448 is an abundant number, since it is smaller than the sum of its proper divisors (4803069543552).

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

2013513320448 is an equidigital number, since it uses as much as digits as its factorization.

2013513320448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5201947 (or 5201921 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2013513320448 in words is "two trillion, thirteen billion, five hundred thirteen million, three hundred twenty thousand, four hundred forty-eight".