1313312321200 has 240 divisors, whose sum is σ = 3546604788480. Its totient is φ = 463148928000.

The previous prime is 1313312321171. The next prime is 1313312321207. The reversal of 1313312321200 is 21232133131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1313312321207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50617831 + ... + 50643769.

It is an arithmetic number, because the mean of its divisors is an integer number (14777519952).

Almost surely, 2^{1313312321200} is an apocalyptic number.

1313312321200 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 1313312321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773302394240).

1313312321200 is an abundant number, since it is smaller than the sum of its proper divisors (2233292467280).

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

1313312321200 is a wasteful number, since it uses less digits than its factorization.

1313312321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26316 (or 26305 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1313312321200 its reverse (21232133131), we get a palindrome (1334544454331).

The spelling of 1313312321200 in words is "one trillion, three hundred thirteen billion, three hundred twelve million, three hundred twenty-one thousand, two hundred".