114013231040000 has 400 divisors, whose sum is σ = 285917602267440. Its totient is φ = 45404958720000.

The previous prime is 114013231039991. The next prime is 114013231040017. The reversal of 114013231040000 is 40132310411.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-3 number, since 3×114013231040000³ (a number of 43 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 112550079494 + ... + 112550080506.

Almost surely, 2^{114013231040000} is an apocalyptic number.

114013231040000 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 114013231040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142958801133720).

114013231040000 is an abundant number, since it is smaller than the sum of its proper divisors (171904371227440).

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

114013231040000 is an frugal number, since it uses more digits than its factorization.

114013231040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2220 counting only the distinct ones).

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

Adding to 114013231040000 its reverse (40132310411), we get a palindrome (114053363350411).

The spelling of 114013231040000 in words is "one hundred fourteen trillion, thirteen billion, two hundred thirty-one million, forty thousand".