213302303001220 has 48 divisors (see below), whose sum is σ = 457030143022320. Its totient is φ = 83593022962176.

The previous prime is 213302303001199. The next prime is 213302303001223. The reversal of 213302303001220 is 22100303203312.

It can be written as a sum of positive squares in 8 ways, for example, as 225047769664 + 213077255231556 = 474392^2 + 14597166^2 .

It is a junction number, because it is equal to n+sod(n) for n = 213302303001191 and 213302303001200.

It is not an unprimeable number, because it can be changed into a prime (213302303001223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 141158607 + ... + 142661686.

It is an arithmetic number, because the mean of its divisors is an integer number (9521461312965).

Almost surely, 2^{213302303001220} is an apocalyptic number.

213302303001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213302303001220 is an abundant number, since it is smaller than the sum of its proper divisors (243727840021100).

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

213302303001220 is a wasteful number, since it uses less digits than its factorization.

213302303001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283821064 (or 283821062 counting only the distinct ones).

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

Adding to 213302303001220 its reverse (22100303203312), we get a palindrome (235402606204532).

The spelling of 213302303001220 in words is "two hundred thirteen trillion, three hundred two billion, three hundred three million, one thousand, two hundred twenty".