13313220100320 has 384 divisors, whose sum is σ = 48427835129856. Its totient is φ = 3011321972736.

The previous prime is 13313220100291. The next prime is 13313220100357. The reversal of 13313220100320 is 2300102231331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 340445889 + ... + 340484991.

It is an arithmetic number, because the mean of its divisors is an integer number (126114153984).

Almost surely, 2^{13313220100320} is an apocalyptic number.

13313220100320 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 13313220100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24213917564928).

13313220100320 is an abundant number, since it is smaller than the sum of its proper divisors (35114615029536).

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

13313220100320 is a wasteful number, since it uses less digits than its factorization.

13313220100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40182 (or 40174 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13313220100320 its reverse (2300102231331), we get a palindrome (15613322331651).

The spelling of 13313220100320 in words is "thirteen trillion, three hundred thirteen billion, two hundred twenty million, one hundred thousand, three hundred twenty".