213000201033300 has 108 divisors (see below), whose sum is σ = 667850132327196. Its totient is φ = 56781946368000.

The previous prime is 213000201033299. The next prime is 213000201033359. The reversal of 213000201033300 is 3330102000312.

213000201033300 is a `hidden beast` number, since 2 + 1 + 300 + 0 + 20 + 10 + 3 + 330 + 0 = 666.

213000201033300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6290455254084 + 206709745779216 = 2508078^2 + 14377404^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34898551 + ... + 40545150.

Almost surely, 2^{213000201033300} is an apocalyptic number.

213000201033300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213000201033300 is an abundant number, since it is smaller than the sum of its proper divisors (454849931293896).

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

213000201033300 is a wasteful number, since it uses less digits than its factorization.

213000201033300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75446858 (or 75446848 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 213000201033300 its reverse (3330102000312), we get a palindrome (216330303033612).

The spelling of 213000201033300 in words is "two hundred thirteen trillion, two hundred one million, thirty-three thousand, three hundred".