13142331040200 has 192 divisors, whose sum is σ = 42750092390400. Its totient is φ = 3333518496000.

The previous prime is 13142331040183. The next prime is 13142331040247. The reversal of 13142331040200 is 204013324131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189976 + ... + 5130375.

It is an arithmetic number, because the mean of its divisors is an integer number (222656731200).

Almost surely, 2^{13142331040200} is an apocalyptic number.

13142331040200 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 13142331040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21375046195200).

13142331040200 is an abundant number, since it is smaller than the sum of its proper divisors (29607761350200).

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

13142331040200 is a wasteful number, since it uses less digits than its factorization.

13142331040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5320572 (or 5320563 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13142331040200 its reverse (204013324131), we get a palindrome (13346344364331).

The spelling of 13142331040200 in words is "thirteen trillion, one hundred forty-two billion, three hundred thirty-one million, forty thousand, two hundred".