213333123314400 has 144 divisors (see below), whose sum is σ = 695257665505200. Its totient is φ = 56818512424960.

The previous prime is 213333123314383. The next prime is 213333123314407. The reversal of 213333123314400 is 4413321333312.

It is a happy number.

It is a super-2 number, since 2×213333123314400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213333123314407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52995855 + ... + 56879054.

It is an arithmetic number, because the mean of its divisors is an integer number (4828178232675).

Almost surely, 2^{213333123314400} is an apocalyptic number.

213333123314400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213333123314400 is an abundant number, since it is smaller than the sum of its proper divisors (481924542190800).

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

213333123314400 is a wasteful number, since it uses less digits than its factorization.

213333123314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109875741 (or 109875728 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 213333123314400 its reverse (4413321333312), we get a palindrome (217746444647712).

The spelling of 213333123314400 in words is "two hundred thirteen trillion, three hundred thirty-three billion, one hundred twenty-three million, three hundred fourteen thousand, four hundred".