114320313100 has 144 divisors (see below), whose sum is σ = 303567445440. Its totient is φ = 36475084800.

The previous prime is 114320313071. The next prime is 114320313101. The reversal of 114320313100 is 1313023411.

It is a super-2 number, since 2×114320313100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114320313101) 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, 1005130 + ... + 1113070.

It is an arithmetic number, because the mean of its divisors is an integer number (2108107260).

Almost surely, 2^114320313100 is an apocalyptic number.

114320313100 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 114320313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151783722720).

114320313100 is an abundant number, since it is smaller than the sum of its proper divisors (189247132340).

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

114320313100 is a wasteful number, since it uses less digits than its factorization.

114320313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108068 (or 108061 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 114320313100 its reverse (1313023411), we get a palindrome (115633336511).

The spelling of 114320313100 in words is "one hundred fourteen billion, three hundred twenty million, three hundred thirteen thousand, one hundred".