14131011000 has 256 divisors, whose sum is σ = 44967312000. Its totient is φ = 3694080000.

The previous prime is 14131010969. The next prime is 14131011001. The reversal of 14131011000 is 11013141.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14131011001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45146844 + ... + 45147156.

Almost surely, 2^14131011000 is an apocalyptic number.

14131011000 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 14131011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22483656000).

14131011000 is an abundant number, since it is smaller than the sum of its proper divisors (30836301000).

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

14131011000 is a wasteful number, since it uses less digits than its factorization.

14131011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 573 counting only the distinct ones).

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

Adding to 14131011000 its reverse (11013141), we get a palindrome (14142024141).

The spelling of 14131011000 in words is "fourteen billion, one hundred thirty-one million, eleven thousand".