13031200200000 has 672 divisors, whose sum is σ = 45014650128000. Its totient is φ = 3323427840000.

The previous prime is 13031200199977. The next prime is 13031200200001. The reversal of 13031200200000 is 200213031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031200200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1309795026 + ... + 1309804974.

It is an arithmetic number, because the mean of its divisors is an integer number (66986086500).

Almost surely, 2^{13031200200000} is an apocalyptic number.

13031200200000 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 13031200200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22507325064000).

13031200200000 is an abundant number, since it is smaller than the sum of its proper divisors (31983449928000).

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

13031200200000 is an frugal number, since it uses more digits than its factorization.

13031200200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10085 (or 10055 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13031200200000 its reverse (200213031), we get a palindrome (13031400413031).

The spelling of 13031200200000 in words is "thirteen trillion, thirty-one billion, two hundred million, two hundred thousand".