13322320301100 has 144 divisors (see below), whose sum is σ = 39191974053120. Its totient is φ = 3493338105600.

The previous prime is 13322320301039. The next prime is 13322320301107. The reversal of 13322320301100 is 110302322331.

It is a super-2 number, since 2×13322320301100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13322320301107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7247554 + ... + 8897846.

It is an arithmetic number, because the mean of its divisors is an integer number (272166486480).

Almost surely, 2^{13322320301100} is an apocalyptic number.

13322320301100 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 13322320301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595987026560).

13322320301100 is an abundant number, since it is smaller than the sum of its proper divisors (25869653752020).

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

13322320301100 is a wasteful number, since it uses less digits than its factorization.

13322320301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650760 (or 1650753 counting only the distinct ones).

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

Adding to 13322320301100 its reverse (110302322331), we get a palindrome (13432622623431).

The spelling of 13322320301100 in words is "thirteen trillion, three hundred twenty-two billion, three hundred twenty million, three hundred one thousand, one hundred".