13022112320100 has 288 divisors, whose sum is σ = 45505321223040. Its totient is φ = 3175484705280.

The previous prime is 13022112320093. The next prime is 13022112320111. The reversal of 13022112320100 is 102321122031.

13022112320100 is a `hidden beast` number, since 1 + 30 + 2 + 211 + 2 + 320 + 100 = 666.

13022112320100 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2022054 + ... + 5489346.

It is an arithmetic number, because the mean of its divisors is an integer number (158004587580).

Almost surely, 2^{13022112320100} is an apocalyptic number.

13022112320100 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 13022112320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22752660611520).

13022112320100 is an abundant number, since it is smaller than the sum of its proper divisors (32483208902940).

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

13022112320100 is a wasteful number, since it uses less digits than its factorization.

13022112320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3467436 (or 3467423 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13022112320100 its reverse (102321122031), we get a palindrome (13124433442131).

The spelling of 13022112320100 in words is "thirteen trillion, twenty-two billion, one hundred twelve million, three hundred twenty thousand, one hundred".