13023322212100 has 72 divisors (see below), whose sum is σ = 28621393113600. Its totient is φ = 5142839020800.

The previous prime is 13023322212067. The next prime is 13023322212113. The reversal of 13023322212100 is 121222332031.

13023322212100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78356085 + ... + 78522115.

It is an arithmetic number, because the mean of its divisors is an integer number (397519348800).

Almost surely, 2^{13023322212100} is an apocalyptic number.

13023322212100 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 13023322212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14310696556800).

13023322212100 is an abundant number, since it is smaller than the sum of its proper divisors (15598070901500).

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

13023322212100 is a wasteful number, since it uses less digits than its factorization.

13023322212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176053 (or 176046 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13023322212100 its reverse (121222332031), we get a palindrome (13144544544131).

The spelling of 13023322212100 in words is "thirteen trillion, twenty-three billion, three hundred twenty-two million, two hundred twelve thousand, one hundred".