2302303113000 has 768 divisors, whose sum is σ = 8582937292800. Its totient is φ = 552015360000.

The previous prime is 2302303112939. The next prime is 2302303113017. The reversal of 2302303113000 is 3113032032.

2302303113000 is a `hidden beast` number, since 2 + 30 + 23 + 0 + 311 + 300 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5918516806 + ... + 5918517194.

It is an arithmetic number, because the mean of its divisors is an integer number (11175699600).

Almost surely, 2^{2302303113000} is an apocalyptic number.

2302303113000 is a gapful number since it is divisible by the number (20) 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 2302303113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291468646400).

2302303113000 is an abundant number, since it is smaller than the sum of its proper divisors (6280634179800).

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

2302303113000 is a wasteful number, since it uses less digits than its factorization.

2302303113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 914 counting only the distinct ones).

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

Adding to 2302303113000 its reverse (3113032032), we get a palindrome (2305416145032).

The spelling of 2302303113000 in words is "two trillion, three hundred two billion, three hundred three million, one hundred thirteen thousand".