314210011133120 has 224 divisors, whose sum is σ = 796466766053376. Its totient is φ = 117657630720000.

The previous prime is 314210011133111. The next prime is 314210011133143. The reversal of 314210011133120 is 21331110012413.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14445762245 + ... + 14445783995.

Almost surely, 2^{314210011133120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314210011133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398233383026688).

314210011133120 is an abundant number, since it is smaller than the sum of its proper divisors (482256754920256).

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

314210011133120 is a wasteful number, since it uses less digits than its factorization.

314210011133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35879 (or 35869 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 314210011133120 its reverse (21331110012413), we get a palindrome (335541121145533).

The spelling of 314210011133120 in words is "three hundred fourteen trillion, two hundred ten billion, eleven million, one hundred thirty-three thousand, one hundred twenty".