13101121123200 has 576 divisors, whose sum is σ = 51282727516800. Its totient is φ = 3158272512000.

The previous prime is 13101121123183. The next prime is 13101121123213. The reversal of 13101121123200 is 232112110131.

13101121123200 is a `hidden beast` number, since 1 + 310 + 1 + 1 + 21 + 12 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56591685 + ... + 56822715.

It is an arithmetic number, because the mean of its divisors is an integer number (89032513050).

Almost surely, 2^{13101121123200} is an apocalyptic number.

13101121123200 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 13101121123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25641363758400).

13101121123200 is an abundant number, since it is smaller than the sum of its proper divisors (38181606393600).

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

13101121123200 is a wasteful number, since it uses less digits than its factorization.

13101121123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231251 (or 231231 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13101121123200 its reverse (232112110131), we get a palindrome (13333233233331).

The spelling of 13101121123200 in words is "thirteen trillion, one hundred one billion, one hundred twenty-one million, one hundred twenty-three thousand, two hundred".