114304011113000 has 32 divisors (see below), whose sum is σ = 267471386006760. Its totient is φ = 45721604444800.

The previous prime is 114304011112999. The next prime is 114304011113011. The reversal of 114304011113000 is 311110403411.

114304011113000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28854065073604 + 85449946039396 = 5371598^2 + 9243914^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57152004557 + ... + 57152006556.

Almost surely, 2^{114304011113000} is an apocalyptic number.

114304011113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114304011113000 is an abundant number, since it is smaller than the sum of its proper divisors (153167374893760).

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

114304011113000 is a wasteful number, since it uses less digits than its factorization.

114304011113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114304011134 (or 114304011120 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 114304011113000 its reverse (311110403411), we get a palindrome (114615121516411).

The spelling of 114304011113000 in words is "one hundred fourteen trillion, three hundred four billion, eleven million, one hundred thirteen thousand".