113302203102000 has 1440 divisors, whose sum is σ = 441002455036416. Its totient is φ = 26886836736000.

The previous prime is 113302203101959. The next prime is 113302203102019. The reversal of 113302203102000 is 201302203311.

113302203102000 is a `hidden beast` number, since 1 + 1 + 330 + 2 + 2 + 0 + 310 + 20 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 176208713679 + ... + 176208714321.

Almost surely, 2^{113302203102000} is an apocalyptic number.

113302203102000 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 113302203102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220501227518208).

113302203102000 is an abundant number, since it is smaller than the sum of its proper divisors (327700251934416).

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

113302203102000 is a wasteful number, since it uses less digits than its factorization.

113302203102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113302203102000 its reverse (201302203311), we get a palindrome (113503505305311).

The spelling of 113302203102000 in words is "one hundred thirteen trillion, three hundred two billion, two hundred three million, one hundred two thousand".