114131320002 has 128 divisors (see below), whose sum is σ = 294517025280. Its totient is φ = 32488812288.

The previous prime is 114131319977. The next prime is 114131320013. The reversal of 114131320002 is 200023131411.

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

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 63 ways as a sum of consecutive naturals, for example, 8474458 + ... + 8487914.

It is an arithmetic number, because the mean of its divisors is an integer number (2300914260).

Almost surely, 2^114131320002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114131320002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147258512640).

114131320002 is an abundant number, since it is smaller than the sum of its proper divisors (180385705278).

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

114131320002 is an equidigital number, since it uses as much as digits as its factorization.

114131320002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13764 (or 13746 counting only the distinct ones).

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

Adding to 114131320002 its reverse (200023131411), we get a palindrome (314154451413).

The spelling of 114131320002 in words is "one hundred fourteen billion, one hundred thirty-one million, three hundred twenty thousand, two".