213503472300 has 288 divisors, whose sum is σ = 650233382400. Its totient is φ = 54013962240.

The previous prime is 213503472257. The next prime is 213503472313. The reversal of 213503472300 is 3274305312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 240702457 + ... + 240703343.

It is an arithmetic number, because the mean of its divisors is an integer number (2257754800).

Almost surely, 2^213503472300 is an apocalyptic number.

213503472300 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 213503472300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325116691200).

213503472300 is an abundant number, since it is smaller than the sum of its proper divisors (436729910100).

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

213503472300 is a wasteful number, since it uses less digits than its factorization.

213503472300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

Adding to 213503472300 its reverse (3274305312), we get a palindrome (216777777612).

The spelling of 213503472300 in words is "two hundred thirteen billion, five hundred three million, four hundred seventy-two thousand, three hundred".