314002420100320 has 96 divisors (see below), whose sum is σ = 856037665986048. Its totient is φ = 106612749531648.

The previous prime is 314002420100309. The next prime is 314002420100353. The reversal of 314002420100320 is 23001024200413.

It is a junction number, because it is equal to n+sod(n) for n = 314002420100291 and 314002420100300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1360852134 + ... + 1361082853.

It is an arithmetic number, because the mean of its divisors is an integer number (8917059020688).

Almost surely, 2^{314002420100320} is an apocalyptic number.

It is an amenable number.

314002420100320 is an abundant number, since it is smaller than the sum of its proper divisors (542035245885728).

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

314002420100320 is a wasteful number, since it uses less digits than its factorization.

314002420100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2721935112 (or 2721935104 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 314002420100320 its reverse (23001024200413), we get a palindrome (337003444300733).

The spelling of 314002420100320 in words is "three hundred fourteen trillion, two billion, four hundred twenty million, one hundred thousand, three hundred twenty".