1314045350300 has 72 divisors (see below), whose sum is σ = 2884317266880. Its totient is φ = 519597030400.

The previous prime is 1314045350281. The next prime is 1314045350309. The reversal of 1314045350300 is 30535404131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314045350309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3073640 + ... + 3474960.

It is an arithmetic number, because the mean of its divisors is an integer number (40059962040).

Almost surely, 2^{1314045350300} is an apocalyptic number.

1314045350300 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 1314045350300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442158633440).

1314045350300 is an abundant number, since it is smaller than the sum of its proper divisors (1570271916580).

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

1314045350300 is a wasteful number, since it uses less digits than its factorization.

1314045350300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401711 (or 401704 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The spelling of 1314045350300 in words is "one trillion, three hundred fourteen billion, forty-five million, three hundred fifty thousand, three hundred".