113330133312 has 336 divisors, whose sum is σ = 349499383296. Its totient is φ = 32328806400.

The previous prime is 113330133307. The next prime is 113330133317. The reversal of 113330133312 is 213331033311.

It is an interprime number because it is at equal distance from previous prime (113330133307) and next prime (113330133317).

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 (113330133317) 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, 26644978 + ... + 26649230.

It is an arithmetic number, because the mean of its divisors is an integer number (1040176736).

Almost surely, 2^113330133312 is an apocalyptic number.

113330133312 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 113330133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174749691648).

113330133312 is an abundant number, since it is smaller than the sum of its proper divisors (236169249984).

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

113330133312 is a wasteful number, since it uses less digits than its factorization.

113330133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4358 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 113330133312 its reverse (213331033311), we get a palindrome (326661166623).

It can be divided in two parts, 113330 and 133312, that added together give a palindrome (246642).

The spelling of 113330133312 in words is "one hundred thirteen billion, three hundred thirty million, one hundred thirty-three thousand, three hundred twelve".