2002113300 has 144 divisors (see below), whose sum is σ = 6523582464. Its totient is φ = 469680000.

The previous prime is 2002113299. The next prime is 2002113343. The reversal of 2002113300 is 33112002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92515 + ... + 112085.

It is an arithmetic number, because the mean of its divisors is an integer number (45302656).

Almost surely, 2^2002113300 is an apocalyptic number.

2002113300 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 2002113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261791232).

2002113300 is an abundant number, since it is smaller than the sum of its proper divisors (4521469164).

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

2002113300 is a wasteful number, since it uses less digits than its factorization.

2002113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19630 (or 19623 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2002113300 is about 44744.9807240991. The cubic root of 2002113300 is about 1260.3646588775.

Adding to 2002113300 its reverse (33112002), we get a palindrome (2035225302).

The spelling of 2002113300 in words is "two billion, two million, one hundred thirteen thousand, three hundred".