314013400011312 has 20 divisors (see below), whose sum is σ = 811201283362680. Its totient is φ = 104671133337088.

The previous prime is 314013400011299. The next prime is 314013400011323. The reversal of 314013400011312 is 213110004310413.

It is a happy number.

It is a super-3 number, since 3×314013400011312³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3270972916737 + ... + 3270972916832.

It is an arithmetic number, because the mean of its divisors is an integer number (40560064168134).

Almost surely, 2^{314013400011312} is an apocalyptic number.

It is an amenable number.

314013400011312 is an abundant number, since it is smaller than the sum of its proper divisors (497187883351368).

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

314013400011312 is a wasteful number, since it uses less digits than its factorization.

314013400011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6541945833580 (or 6541945833574 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 314013400011312 its reverse (213110004310413), we get a palindrome (527123404321725).

The spelling of 314013400011312 in words is "three hundred fourteen trillion, thirteen billion, four hundred million, eleven thousand, three hundred twelve".