213433242300 has 432 divisors, whose sum is σ = 719339292672. Its totient is φ = 54834796800.

The previous prime is 213433242299. The next prime is 213433242329. The reversal of 213433242300 is 3242334312.

213433242300 is a `hidden beast` number, since 2 + 1 + 34 + 3 + 324 + 2 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 220716417 + ... + 220717383.

Almost surely, 2^213433242300 is an apocalyptic number.

213433242300 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 213433242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359669646336).

213433242300 is an abundant number, since it is smaller than the sum of its proper divisors (505906050372).

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

213433242300 is a wasteful number, since it uses less digits than its factorization.

213433242300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 213433242300 its reverse (3242334312), we get a palindrome (216675576612).

The spelling of 213433242300 in words is "two hundred thirteen billion, four hundred thirty-three million, two hundred forty-two thousand, three hundred".