14013314100 has 108 divisors (see below), whose sum is σ = 43987909420. Its totient is φ = 3731443200.

The previous prime is 14013314089. The next prime is 14013314137. The reversal of 14013314100 is 141331041.

It can be written as a sum of positive squares in 6 ways, for example, as 517380516 + 13495933584 = 22746^2 + 116172^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 627120 + ... + 649080.

Almost surely, 2^14013314100 is an apocalyptic number.

14013314100 is a gapful number since it is divisible by the number (10) 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 14013314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21993954710).

14013314100 is an abundant number, since it is smaller than the sum of its proper divisors (29974595320).

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

14013314100 is a wasteful number, since it uses less digits than its factorization.

14013314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22690 (or 22680 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 14013314100 its reverse (141331041), we get a palindrome (14154645141).

The spelling of 14013314100 in words is "fourteen billion, thirteen million, three hundred fourteen thousand, one hundred".