1310321320200 has 288 divisors, whose sum is σ = 4554786600000. Its totient is φ = 337181160960.

The previous prime is 1310321320177. The next prime is 1310321320201. The reversal of 1310321320200 is 20231230131.

1310321320200 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 321 + 320 + 20 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1310321320201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109561821 + ... + 109573779.

It is an arithmetic number, because the mean of its divisors is an integer number (15815231250).

Almost surely, 2^{1310321320200} is an apocalyptic number.

1310321320200 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 1310321320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277393300000).

1310321320200 is an abundant number, since it is smaller than the sum of its proper divisors (3244465279800).

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

1310321320200 is a wasteful number, since it uses less digits than its factorization.

1310321320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14109 (or 14097 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1310321320200 its reverse (20231230131), we get a palindrome (1330552550331).

The spelling of 1310321320200 in words is "one trillion, three hundred ten billion, three hundred twenty-one million, three hundred twenty thousand, two hundred".