113400303114 has 128 divisors (see below), whose sum is σ = 281913016320. Its totient is φ = 29676326400.

The previous prime is 113400303089. The next prime is 113400303167. The reversal of 113400303114 is 411303004311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43067542 + ... + 43070174.

It is an arithmetic number, because the mean of its divisors is an integer number (2202445440).

Almost surely, 2^113400303114 is an apocalyptic number.

113400303114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113400303114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140956508160).

113400303114 is an abundant number, since it is smaller than the sum of its proper divisors (168512713206).

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

113400303114 is a wasteful number, since it uses less digits than its factorization.

113400303114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4436.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 113400303114 its reverse (411303004311), we get a palindrome (524703307425).

The spelling of 113400303114 in words is "one hundred thirteen billion, four hundred million, three hundred three thousand, one hundred fourteen".