213302133220 has 96 divisors (see below), whose sum is σ = 500089282560. Its totient is φ = 75756435840.

The previous prime is 213302133211. The next prime is 213302133269. The reversal of 213302133220 is 22331203312.

It is a super-3 number, since 3×213302133220³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 213302133191 and 213302133200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5014401 + ... + 5056759.

It is an arithmetic number, because the mean of its divisors is an integer number (5209263360).

Almost surely, 2^213302133220 is an apocalyptic number.

213302133220 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 213302133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250044641280).

213302133220 is an abundant number, since it is smaller than the sum of its proper divisors (286787149340).

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

213302133220 is a wasteful number, since it uses less digits than its factorization.

213302133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42913 (or 42911 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 213302133220 its reverse (22331203312), we get a palindrome (235633336532).

The spelling of 213302133220 in words is "two hundred thirteen billion, three hundred two million, one hundred thirty-three thousand, two hundred twenty".