14013100000 has 144 divisors (see below), whose sum is σ = 36516006576. Its totient is φ = 5274880000.

The previous prime is 14013099967. The next prime is 14013100009. The reversal of 14013100000 is 131041.

It is a happy number.

It is a super-2 number, since 2×14013100000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 14013100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14013100009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1695879 + ... + 1704121.

It is an arithmetic number, because the mean of its divisors is an integer number (253583379).

Almost surely, 2^14013100000 is an apocalyptic number.

14013100000 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 14013100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18258003288).

14013100000 is an abundant number, since it is smaller than the sum of its proper divisors (22502906576).

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

14013100000 is an frugal number, since it uses more digits than its factorization.

14013100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8295 (or 8267 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 14013100000 its reverse (131041), we get a palindrome (14013231041).

The spelling of 14013100000 in words is "fourteen billion, thirteen million, one hundred thousand".