113113330211232 has 384 divisors, whose sum is σ = 364944516249600. Its totient is φ = 33858795184128.

The previous prime is 113113330211207. The next prime is 113113330211239. The reversal of 113113330211232 is 232112033311311.

113113330211232 is a `hidden beast` number, since 1 + 1 + 3 + 113 + 3 + 302 + 11 + 232 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 113113330211196 and 113113330211205.

It is not an unprimeable number, because it can be changed into a prime (113113330211239) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4108865244 + ... + 4108892772.

It is an arithmetic number, because the mean of its divisors is an integer number (950376344400).

Almost surely, 2^{113113330211232} is an apocalyptic number.

113113330211232 is a gapful number since it is divisible by the number (12) 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 113113330211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182472258124800).

113113330211232 is an abundant number, since it is smaller than the sum of its proper divisors (251831186038368).

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

113113330211232 is a wasteful number, since it uses less digits than its factorization.

113113330211232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37485 (or 37471 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 113113330211232 its reverse (232112033311311), we get a palindrome (345225363522543).

The spelling of 113113330211232 in words is "one hundred thirteen trillion, one hundred thirteen billion, three hundred thirty million, two hundred eleven thousand, two hundred thirty-two".