10013548216320 has 1216 divisors, whose sum is σ = 40224976358400. Its totient is φ = 2341176606720.

The previous prime is 10013548216277. The next prime is 10013548216327. The reversal of 10013548216320 is 2361284531001.

10013548216320 is a `hidden beast` number, since 1 + 0 + 0 + 13 + 5 + 4 + 8 + 2 + 1 + 632 + 0 = 666.

It is a super-2 number, since 2×10013548216320² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013548216327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11289230917 + ... + 11289231803.

Almost surely, 2^{10013548216320} is an apocalyptic number.

10013548216320 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 10013548216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20112488179200).

10013548216320 is an abundant number, since it is smaller than the sum of its proper divisors (30211428142080).

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

10013548216320 is an frugal number, since it uses more digits than its factorization.

10013548216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10013548216320 in words is "ten trillion, thirteen billion, five hundred forty-eight million, two hundred sixteen thousand, three hundred twenty".