213020133200100 has 432 divisors, whose sum is σ = 724019082521280. Its totient is φ = 52202894515200.

The previous prime is 213020133200087. The next prime is 213020133200101. The reversal of 213020133200100 is 1002331020312.

213020133200100 is a `hidden beast` number, since 2 + 1 + 30 + 201 + 332 + 0 + 0 + 100 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (213020133200101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 208915114 + ... + 209932286.

Almost surely, 2^{213020133200100} is an apocalyptic number.

213020133200100 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 213020133200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362009541260640).

213020133200100 is an abundant number, since it is smaller than the sum of its proper divisors (510998949321180).

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

213020133200100 is a wasteful number, since it uses less digits than its factorization.

213020133200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017580 (or 1017570 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213020133200100 its reverse (1002331020312), we get a palindrome (214022464220412).

The spelling of 213020133200100 in words is "two hundred thirteen trillion, twenty billion, one hundred thirty-three million, two hundred thousand, one hundred".