113330130144 has 192 divisors, whose sum is σ = 371099957760. Its totient is φ = 29420421120.

The previous prime is 113330130143. The next prime is 113330130169. The reversal of 113330130144 is 441031033311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113330130143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20347392 + ... + 20352960.

It is an arithmetic number, because the mean of its divisors is an integer number (1932812280).

Almost surely, 2^113330130144 is an apocalyptic number.

113330130144 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 113330130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185549978880).

113330130144 is an abundant number, since it is smaller than the sum of its proper divisors (257769827616).

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

113330130144 is a wasteful number, since it uses less digits than its factorization.

113330130144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8353 (or 8345 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 113330130144 its reverse (441031033311), we get a palindrome (554361163455).

The spelling of 113330130144 in words is "one hundred thirteen billion, three hundred thirty million, one hundred thirty thousand, one hundred forty-four".