13110100322200 has 288 divisors, whose sum is σ = 35983997992800. Its totient is φ = 4428589455360.

The previous prime is 13110100322197. The next prime is 13110100322201. The reversal of 13110100322200 is 222300101131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13110100322201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 198818836 + ... + 198884764.

It is an arithmetic number, because the mean of its divisors is an integer number (124944437475).

Almost surely, 2^{13110100322200} is an apocalyptic number.

13110100322200 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 13110100322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17991998996400).

13110100322200 is an abundant number, since it is smaller than the sum of its proper divisors (22873897670600).

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

13110100322200 is a wasteful number, since it uses less digits than its factorization.

13110100322200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66259 (or 66243 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13110100322200 its reverse (222300101131), we get a palindrome (13332400423331).

The spelling of 13110100322200 in words is "thirteen trillion, one hundred ten billion, one hundred million, three hundred twenty-two thousand, two hundred".