113141103264 has 768 divisors, whose sum is σ = 403255480320. Its totient is φ = 30569011200.

The previous prime is 113141103259. The next prime is 113141103287. The reversal of 113141103264 is 462301141311.

113141103264 is a `hidden beast` number, since 11 + 314 + 1 + 10 + 326 + 4 = 666.

It is a super-2 number, since 2×113141103264² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 863672479 + ... + 863672609.

It is an arithmetic number, because the mean of its divisors is an integer number (525072240).

Almost surely, 2^113141103264 is an apocalyptic number.

113141103264 is a gapful number since it is divisible by the number (14) 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 113141103264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201627740160).

113141103264 is an abundant number, since it is smaller than the sum of its proper divisors (290114377056).

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

113141103264 is an equidigital number, since it uses as much as digits as its factorization.

113141103264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 113141103264 its reverse (462301141311), we get a palindrome (575442244575).

The spelling of 113141103264 in words is "one hundred thirteen billion, one hundred forty-one million, one hundred three thousand, two hundred sixty-four".