13312102321100 has 144 divisors (see below), whose sum is σ = 32080794197760. Its totient is φ = 4753774099200.

The previous prime is 13312102321093. The next prime is 13312102321109. The reversal of 13312102321100 is 112320121331.

It is a happy number.

13312102321100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13312102321109) 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, 62652242 + ... + 62864358.

It is an arithmetic number, because the mean of its divisors is an integer number (222783293040).

Almost surely, 2^{13312102321100} is an apocalyptic number.

13312102321100 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 13312102321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16040397098880).

13312102321100 is an abundant number, since it is smaller than the sum of its proper divisors (18768691876660).

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

13312102321100 is a wasteful number, since it uses less digits than its factorization.

13312102321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213168 (or 213161 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13312102321100 its reverse (112320121331), we get a palindrome (13424422442431).

The spelling of 13312102321100 in words is "thirteen trillion, three hundred twelve billion, one hundred two million, three hundred twenty-one thousand, one hundred".