1012014343314 has 96 divisors (see below), whose sum is σ = 2488030272000. Its totient is φ = 294717553920.

The previous prime is 1012014343217. The next prime is 1012014343363. The reversal of 1012014343314 is 4133434102101.

1012014343314 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 0 + 1 + 4 + 343 + 314 = 666.

It is a super-3 number, since 3×1012014343314³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4555359 + ... + 4772349.

It is an arithmetic number, because the mean of its divisors is an integer number (25916982000).

Almost surely, 2^{1012014343314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012014343314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244015136000).

1012014343314 is an abundant number, since it is smaller than the sum of its proper divisors (1476015928686).

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

1012014343314 is a wasteful number, since it uses less digits than its factorization.

1012014343314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218080 (or 218077 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1012014343314 its reverse (4133434102101), we get a palindrome (5145448445415).

The spelling of 1012014343314 in words is "one trillion, twelve billion, fourteen million, three hundred forty-three thousand, three hundred fourteen".