213323338800 has 1440 divisors, whose sum is σ = 931910145600. Its totient is φ = 45984153600.

The previous prime is 213323338763. The next prime is 213323338807. The reversal of 213323338800 is 8833323312.

213323338800 is a `hidden beast` number, since 213 + 32 + 3 + 338 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (213323338807) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 492663384 + ... + 492663816.

Almost surely, 2^213323338800 is an apocalyptic number.

213323338800 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 213323338800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465955072800).

213323338800 is an abundant number, since it is smaller than the sum of its proper divisors (718586806800).

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

213323338800 is a wasteful number, since it uses less digits than its factorization.

213323338800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 213323338800 in words is "two hundred thirteen billion, three hundred twenty-three million, three hundred thirty-eight thousand, eight hundred".