13101121022200 has 96 divisors (see below), whose sum is σ = 30801846412800. Its totient is φ = 5181952163840.

The previous prime is 13101121022159. The next prime is 13101121022203. The reversal of 13101121022200 is 222012110131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101121022203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6111561 + ... + 7972039.

It is an arithmetic number, because the mean of its divisors is an integer number (320852566800).

Almost surely, 2^{13101121022200} is an apocalyptic number.

13101121022200 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 13101121022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15400923206400).

13101121022200 is an abundant number, since it is smaller than the sum of its proper divisors (17700725390600).

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

13101121022200 is a wasteful number, since it uses less digits than its factorization.

13101121022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860889 (or 1860880 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 13101121022200 its reverse (222012110131), we get a palindrome (13323133132331).

The spelling of 13101121022200 in words is "thirteen trillion, one hundred one billion, one hundred twenty-one million, twenty-two thousand, two hundred".