114051311300 has 108 divisors (see below), whose sum is σ = 254462736780. Its totient is φ = 44369740800.

The previous prime is 114051311263. The next prime is 114051311303. The reversal of 114051311300 is 3113150411.

It can be written as a sum of positive squares in 18 ways, for example, as 114050745796 + 565504 = 337714^2 + 752^2 .

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

It is not an unprimeable number, because it can be changed into a prime (114051311303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66734846 + ... + 66736554.

Almost surely, 2^114051311300 is an apocalyptic number.

114051311300 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 114051311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127231368390).

114051311300 is an abundant number, since it is smaller than the sum of its proper divisors (140411425480).

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

114051311300 is a wasteful number, since it uses less digits than its factorization.

114051311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 114051311300 its reverse (3113150411), we get a palindrome (117164461711).

The spelling of 114051311300 in words is "one hundred fourteen billion, fifty-one million, three hundred eleven thousand, three hundred".