314203200013200 has 480 divisors, whose sum is σ = 1065311889103872. Its totient is φ = 79048000512000.

The previous prime is 314203200013163. The next prime is 314203200013201. The reversal of 314203200013200 is 2310002302413.

It is not an unprimeable number, because it can be changed into a prime (314203200013201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 309033670 + ... + 310048730.

Almost surely, 2^{314203200013200} is an apocalyptic number.

314203200013200 is a gapful number since it is divisible by the number (30) 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 314203200013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532655944551936).

314203200013200 is an abundant number, since it is smaller than the sum of its proper divisors (751108689090672).

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

314203200013200 is a wasteful number, since it uses less digits than its factorization.

314203200013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015323 (or 1015312 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 314203200013200 its reverse (2310002302413), we get a palindrome (316513202315613).

The spelling of 314203200013200 in words is "three hundred fourteen trillion, two hundred three billion, two hundred million, thirteen thousand, two hundred".