13042021200000 has 1536 divisors, whose sum is σ = 49177172459520. Its totient is φ = 3038238720000.

The previous prime is 13042021199989. The next prime is 13042021200001. The reversal of 13042021200000 is 212024031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (13042021200001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58484399889 + ... + 58484400111.

It is an arithmetic number, because the mean of its divisors is an integer number (32016388320).

Almost surely, 2^{13042021200000} is an apocalyptic number.

13042021200000 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 13042021200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24588586229760).

13042021200000 is an abundant number, since it is smaller than the sum of its proper divisors (36135151259520).

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

13042021200000 is a wasteful number, since it uses less digits than its factorization.

13042021200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 13042021200000 its reverse (212024031), we get a palindrome (13042233224031).

The spelling of 13042021200000 in words is "thirteen trillion, forty-two billion, twenty-one million, two hundred thousand".