113312133000000 has 1176 divisors, whose sum is σ = 448983702935040. Its totient is φ = 27091584000000.

The previous prime is 113312132999993. The next prime is 113312133000041. The reversal of 113312133000000 is 331213311.

It is a happy number.

113312133000000 is a `hidden beast` number, since 1 + 1 + 331 + 2 + 1 + 330 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 7226992161 + ... + 7227007839.

It is an arithmetic number, because the mean of its divisors is an integer number (381788863040).

Almost surely, 2^{113312133000000} is an apocalyptic number.

113312133000000 is a gapful number since it is divisible by the number (10) 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 113312133000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224491851467520).

113312133000000 is an abundant number, since it is smaller than the sum of its proper divisors (335671569935040).

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

113312133000000 is an equidigital number, since it uses as much as digits as its factorization.

113312133000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15811 (or 15773 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 113312133000000 its reverse (331213311), we get a palindrome (113312464213311).

The spelling of 113312133000000 in words is "one hundred thirteen trillion, three hundred twelve billion, one hundred thirty-three million", and thus it is an aban number.