213545414300 has 72 divisors (see below), whose sum is σ = 467017504800. Its totient is φ = 84751430400.

The previous prime is 213545414273. The next prime is 213545414309. The reversal of 213545414300 is 3414545312.

213545414300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213545414309) 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, 14400890 + ... + 14415710.

Almost surely, 2^213545414300 is an apocalyptic number.

213545414300 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 213545414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233508752400).

213545414300 is an abundant number, since it is smaller than the sum of its proper divisors (253472090500).

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

213545414300 is a wasteful number, since it uses less digits than its factorization.

213545414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15951 (or 15944 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 213545414300 its reverse (3414545312), we get a palindrome (216959959612).

The spelling of 213545414300 in words is "two hundred thirteen billion, five hundred forty-five million, four hundred fourteen thousand, three hundred".