4213001334300 has 288 divisors, whose sum is σ = 14164328424960. Its totient is φ = 955497062400.

The previous prime is 4213001334253. The next prime is 4213001334329. The reversal of 4213001334300 is 34331003124.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9143856 + ... + 9593544.

It is an arithmetic number, because the mean of its divisors is an integer number (49181695920).

Almost surely, 2^{4213001334300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4213001334300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7082164212480).

4213001334300 is an abundant number, since it is smaller than the sum of its proper divisors (9951327090660).

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

4213001334300 is a wasteful number, since it uses less digits than its factorization.

4213001334300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449901 (or 449894 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 4213001334300 its reverse (34331003124), we get a palindrome (4247332337424).

The spelling of 4213001334300 in words is "four trillion, two hundred thirteen billion, one million, three hundred thirty-four thousand, three hundred".