213133220000 has 120 divisors (see below), whose sum is σ = 524726574372. Its totient is φ = 85190400000.

The previous prime is 213133219987. The next prime is 213133220057. The reversal of 213133220000 is 22331312.

It can be written as a sum of positive squares in 10 ways, for example, as 126539564176 + 86593655824 = 355724^2 + 294268^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34816940 + ... + 34823060.

Almost surely, 2^213133220000 is an apocalyptic number.

213133220000 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 213133220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262363287186).

213133220000 is an abundant number, since it is smaller than the sum of its proper divisors (311593354372).

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

213133220000 is an equidigital number, since it uses as much as digits as its factorization.

213133220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7892 (or 7869 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 213133220000 its reverse (22331312), we get a palindrome (213155551312).

The spelling of 213133220000 in words is "two hundred thirteen billion, one hundred thirty-three million, two hundred twenty thousand".