213315424300 has 144 divisors (see below), whose sum is σ = 513284335200. Its totient is φ = 76298803200.

The previous prime is 213315424297. The next prime is 213315424313. The reversal of 213315424300 is 3424513312.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31233286 + ... + 31240114.

It is an arithmetic number, because the mean of its divisors is an integer number (3564474550).

Almost surely, 2^213315424300 is an apocalyptic number.

213315424300 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 213315424300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256642167600).

213315424300 is an abundant number, since it is smaller than the sum of its proper divisors (299968910900).

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

213315424300 is a wasteful number, since it uses less digits than its factorization.

213315424300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7316 (or 7309 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 213315424300 its reverse (3424513312), we get a palindrome (216739937612).

It can be divided in two parts, 213 and 315424300, that added together give a palindrome (315424513).

The spelling of 213315424300 in words is "two hundred thirteen billion, three hundred fifteen million, four hundred twenty-four thousand, three hundred".