213300155212200 has 1536 divisors, whose sum is σ = 858803033088000. Its totient is φ = 47656304640000.

The previous prime is 213300155212187. The next prime is 213300155212253. The reversal of 213300155212200 is 2212551003312.

213300155212200 is a `hidden beast` number, since 2 + 1 + 3 + 300 + 155 + 2 + 1 + 2 + 200 = 666.

It is a super-2 number, since 2×213300155212200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 277373413416 + ... + 277373414184.

It is an arithmetic number, because the mean of its divisors is an integer number (559116558000).

Almost surely, 2^{213300155212200} is an apocalyptic number.

213300155212200 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 213300155212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429401516544000).

213300155212200 is an abundant number, since it is smaller than the sum of its proper divisors (645502877875800).

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

213300155212200 is a wasteful number, since it uses less digits than its factorization.

213300155212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 213300155212200 in words is "two hundred thirteen trillion, three hundred billion, one hundred fifty-five million, two hundred twelve thousand, two hundred".