14213141300 has 72 divisors (see below), whose sum is σ = 31415385120. Its totient is φ = 5579971200.

The previous prime is 14213141297. The next prime is 14213141321. The reversal of 14213141300 is 314131241.

It is a super-2 number, since 2×14213141300² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4641770 + ... + 4644830.

Almost surely, 2^14213141300 is an apocalyptic number.

14213141300 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 14213141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15707692560).

14213141300 is an abundant number, since it is smaller than the sum of its proper divisors (17202243820).

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

14213141300 is a wasteful number, since it uses less digits than its factorization.

14213141300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3921 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 14213141300 its reverse (314131241), we get a palindrome (14527272541).

The spelling of 14213141300 in words is "fourteen billion, two hundred thirteen million, one hundred forty-one thousand, three hundred".