1311305414300 has 144 divisors (see below), whose sum is σ = 3299846921280. Its totient is φ = 443015485440.

The previous prime is 1311305414219. The next prime is 1311305414311. The reversal of 1311305414300 is 34145031131.

It is a self number, because there is not a number n which added to its sum of digits gives 1311305414300.

It is a congruent number.

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, 18217982 + ... + 18289818.

It is an arithmetic number, because the mean of its divisors is an integer number (22915603620).

Almost surely, 2^{1311305414300} is an apocalyptic number.

1311305414300 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 1311305414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649923460640).

1311305414300 is an abundant number, since it is smaller than the sum of its proper divisors (1988541506980).

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

1311305414300 is a wasteful number, since it uses less digits than its factorization.

1311305414300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72240 (or 72233 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 1311305414300 in words is "one trillion, three hundred eleven billion, three hundred five million, four hundred fourteen thousand, three hundred".