113332000302000 has 480 divisors, whose sum is σ = 422646608457216. Its totient is φ = 28235592000000.

The previous prime is 113332000301987. The next prime is 113332000302013. The reversal of 113332000302000 is 203000233311.

113332000302000 is a `hidden beast` number, since 11 + 33 + 320 + 0 + 0 + 302 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113332000301987) and next prime (113332000302013).

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

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 95 ways as a sum of consecutive naturals, for example, 14618875 + ... + 20985125.

Almost surely, 2^{113332000302000} is an apocalyptic number.

113332000302000 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 113332000302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211323304228608).

113332000302000 is an abundant number, since it is smaller than the sum of its proper divisors (309314608155216).

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

113332000302000 is a wasteful number, since it uses less digits than its factorization.

113332000302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6366346 (or 6366327 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 113332000302000 its reverse (203000233311), we get a palindrome (113535000535311).

The spelling of 113332000302000 in words is "one hundred thirteen trillion, three hundred thirty-two billion, three hundred two thousand".