213020100000 has 432 divisors, whose sum is σ = 777757079736. Its totient is φ = 55261440000.

The previous prime is 213020099969. The next prime is 213020100019. The reversal of 213020100000 is 1020312.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 124104016656 + 88916083344 = 352284^2 + 298188^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33296802 + ... + 33303198.

Almost surely, 2^213020100000 is an apocalyptic number.

213020100000 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 213020100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388878539868).

213020100000 is an abundant number, since it is smaller than the sum of its proper divisors (564736979736).

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

213020100000 is an equidigital number, since it uses as much as digits as its factorization.

213020100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6475 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 213020100000 its reverse (1020312), we get a palindrome (213021120312).

The spelling of 213020100000 in words is "two hundred thirteen billion, twenty million, one hundred thousand".