2113033000 has 256 divisors, whose sum is σ = 5736407040. Its totient is φ = 722304000.

The previous prime is 2113032989. The next prime is 2113033049. The reversal of 2113033000 is 3303112.

It is a Harshad number since it is a multiple of its sum of digits (13).

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 63 ways as a sum of consecutive naturals, for example, 11062905 + ... + 11063095.

It is an arithmetic number, because the mean of its divisors is an integer number (22407840).

Almost surely, 2^2113033000 is an apocalyptic number.

2113033000 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 2113033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868203520).

2113033000 is an abundant number, since it is smaller than the sum of its proper divisors (3623374040).

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

2113033000 is a wasteful number, since it uses less digits than its factorization.

2113033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 2113033000 is about 45967.7386870401. The cubic root of 2113033000 is about 1283.2228761212. Note that the first 3 decimals are identical.

Adding to 2113033000 its reverse (3303112), we get a palindrome (2116336112).

The spelling of 2113033000 in words is "two billion, one hundred thirteen million, thirty-three thousand".