1313031112200 has 288 divisors, whose sum is σ = 4488993255240. Its totient is φ = 343855411200.

The previous prime is 1313031112177. The next prime is 1313031112213. The reversal of 1313031112200 is 22111303131.

1313031112200 is a `hidden beast` number, since 1 + 3 + 130 + 311 + 1 + 220 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 134690468004 + 1178340644196 = 367002^2 + 1085514^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71690244 + ... + 71708556.

Almost surely, 2^{1313031112200} is an apocalyptic number.

1313031112200 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 1313031112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244496627620).

1313031112200 is an abundant number, since it is smaller than the sum of its proper divisors (3175962143040).

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

1313031112200 is a wasteful number, since it uses less digits than its factorization.

1313031112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19049 (or 19037 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1313031112200 its reverse (22111303131), we get a palindrome (1335142415331).

The spelling of 1313031112200 in words is "one trillion, three hundred thirteen billion, thirty-one million, one hundred twelve thousand, two hundred".