1310311320000 has 280 divisors, whose sum is σ = 4334987672400. Its totient is φ = 349191168000.

The previous prime is 1310311319987. The next prime is 1310311320037. The reversal of 1310311320000 is 231130131.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 277077636 + ... + 277082364.

It is an arithmetic number, because the mean of its divisors is an integer number (15482098830).

Almost surely, 2^{1310311320000} is an apocalyptic number.

1310311320000 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 1310311320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167493836200).

1310311320000 is an abundant number, since it is smaller than the sum of its proper divisors (3024676352400).

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

1310311320000 is an equidigital number, since it uses as much as digits as its factorization.

1310311320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7073 (or 7048 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1310311320000 its reverse (231130131), we get a palindrome (1310542450131).

The spelling of 1310311320000 in words is "one trillion, three hundred ten billion, three hundred eleven million, three hundred twenty thousand".