2133213300 has 288 divisors, whose sum is σ = 7091212800. Its totient is φ = 549918720.

The previous prime is 2133213293. The next prime is 2133213343. The reversal of 2133213300 is 33123312.

2133213300 is a `hidden beast` number, since 2 + 1 + 332 + 1 + 330 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15570832 + ... + 15570968.

Almost surely, 2^2133213300 is an apocalyptic number.

2133213300 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 2133213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545606400).

2133213300 is an abundant number, since it is smaller than the sum of its proper divisors (4957999500).

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

2133213300 is a wasteful number, since it uses less digits than its factorization.

2133213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 299 counting only the distinct ones).

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

The square root of 2133213300 is about 46186.7221179421. The cubic root of 2133213300 is about 1287.2950350819.

Adding to 2133213300 its reverse (33123312), we get a palindrome (2166336612).

It can be divided in two parts, 2133 and 213300, that multiplied together give a square (454968900 = 21330²).

The spelling of 2133213300 in words is "two billion, one hundred thirty-three million, two hundred thirteen thousand, three hundred".