1313110012200 has 192 divisors, whose sum is σ = 4674212497920. Its totient is φ = 298716768000.

The previous prime is 1313110012183. The next prime is 1313110012211. The reversal of 1313110012200 is 22100113131.

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 1313110012200.

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, 145335 + ... + 1627065.

It is an arithmetic number, because the mean of its divisors is an integer number (24344856760).

Almost surely, 2^{1313110012200} is an apocalyptic number.

1313110012200 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 1313110012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337106248960).

1313110012200 is an abundant number, since it is smaller than the sum of its proper divisors (3361102485720).

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

1313110012200 is a wasteful number, since it uses less digits than its factorization.

1313110012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481968 (or 1481959 counting only the distinct ones).

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

Adding to 1313110012200 its reverse (22100113131), we get a palindrome (1335210125331).

The spelling of 1313110012200 in words is "one trillion, three hundred thirteen billion, one hundred ten million, twelve thousand, two hundred".