13321221321100 has 288 divisors, whose sum is σ = 38524176294912. Its totient is φ = 3874675200000.

The previous prime is 13321221321091. The next prime is 13321221321101. The reversal of 13321221321100 is 112312212331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (13321221321101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6343800 + ... + 8178400.

It is an arithmetic number, because the mean of its divisors is an integer number (133764501024).

Almost surely, 2^{13321221321100} is an apocalyptic number.

13321221321100 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 13321221321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262088147456).

13321221321100 is an abundant number, since it is smaller than the sum of its proper divisors (25202954973812).

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

13321221321100 is a wasteful number, since it uses less digits than its factorization.

13321221321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834697 (or 1834690 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 13321221321100 its reverse (112312212331), we get a palindrome (13433533533431).

The spelling of 13321221321100 in words is "thirteen trillion, three hundred twenty-one billion, two hundred twenty-one million, three hundred twenty-one thousand, one hundred".