13131201010200 has 768 divisors, whose sum is σ = 51771623070720. Its totient is φ = 2679054704640.

The previous prime is 13131201010181. The next prime is 13131201010241. The reversal of 13131201010200 is 201010213131.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13131201010200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 329272662 + ... + 329312538.

It is an arithmetic number, because the mean of its divisors is an integer number (67410967540).

Almost surely, 2^{13131201010200} is an apocalyptic number.

13131201010200 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 13131201010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25885811535360).

13131201010200 is an abundant number, since it is smaller than the sum of its proper divisors (38640422060520).

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

13131201010200 is a wasteful number, since it uses less digits than its factorization.

13131201010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40116 (or 40107 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13131201010200 its reverse (201010213131), we get a palindrome (13332211223331).

The spelling of 13131201010200 in words is "thirteen trillion, one hundred thirty-one billion, two hundred one million, ten thousand, two hundred".