114303013000 has 384 divisors, whose sum is σ = 304746624000. Its totient is φ = 40075200000.

The previous prime is 114303012983. The next prime is 114303013009. The reversal of 114303013000 is 310303411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114303013009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 574386901 + ... + 574387099.

It is an arithmetic number, because the mean of its divisors is an integer number (793611000).

Almost surely, 2^114303013000 is an apocalyptic number.

114303013000 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 114303013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152373312000).

114303013000 is an abundant number, since it is smaller than the sum of its proper divisors (190443611000).

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

114303013000 is a wasteful number, since it uses less digits than its factorization.

114303013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 114303013000 its reverse (310303411), we get a palindrome (114613316411).

The spelling of 114303013000 in words is "one hundred fourteen billion, three hundred three million, thirteen thousand".