13101480216000 has 1792 divisors, whose sum is σ = 53368773120000. Its totient is φ = 3146356224000.

The previous prime is 13101480215977. The next prime is 13101480216031. The reversal of 13101480216000 is 61208410131.

It is a happy number.

13101480216000 is a `hidden beast` number, since 1 + 3 + 10 + 1 + 48 + 0 + 2 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 57211703886 + ... + 57211704114.

Almost surely, 2^{13101480216000} is an apocalyptic number.

13101480216000 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 13101480216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26684386560000).

13101480216000 is an abundant number, since it is smaller than the sum of its proper divisors (40267292904000).

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

13101480216000 is a wasteful number, since it uses less digits than its factorization.

13101480216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 13101480216000 its reverse (61208410131), we get a palindrome (13162688626131).

The spelling of 13101480216000 in words is "thirteen trillion, one hundred one billion, four hundred eighty million, two hundred sixteen thousand".