1314430311300 has 288 divisors, whose sum is σ = 4031921940480. Its totient is φ = 329696755200.

The previous prime is 1314430311289. The next prime is 1314430311307. The reversal of 1314430311300 is 31130344131.

It is not an unprimeable number, because it can be changed into a prime (1314430311307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 557669722 + ... + 557672078.

It is an arithmetic number, because the mean of its divisors is an integer number (13999728960).

Almost surely, 2^{1314430311300} is an apocalyptic number.

1314430311300 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 1314430311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015960970240).

1314430311300 is an abundant number, since it is smaller than the sum of its proper divisors (2717491629180).

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

1314430311300 is a wasteful number, since it uses less digits than its factorization.

1314430311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1314430311300 its reverse (31130344131), we get a palindrome (1345560655431).

The spelling of 1314430311300 in words is "one trillion, three hundred fourteen billion, four hundred thirty million, three hundred eleven thousand, three hundred".