114311133000 has 192 divisors, whose sum is σ = 392707476720. Its totient is φ = 29983104000.

The previous prime is 114311132989. The next prime is 114311133007. The reversal of 114311133000 is 331113411.

It can be written as a sum of positive squares in 8 ways, for example, as 1789797636 + 112521335364 = 42306^2 + 335442^2 .

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

It is not an unprimeable number, because it can be changed into a prime (114311133007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444892 + ... + 653108.

Almost surely, 2^114311133000 is an apocalyptic number.

114311133000 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 114311133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196353738360).

114311133000 is an abundant number, since it is smaller than the sum of its proper divisors (278396343720).

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

114311133000 is a wasteful number, since it uses less digits than its factorization.

114311133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208305 (or 208288 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 114311133000 its reverse (331113411), we get a palindrome (114642246411).

The spelling of 114311133000 in words is "one hundred fourteen billion, three hundred eleven million, one hundred thirty-three thousand".