213131003300 has 36 divisors (see below), whose sum is σ = 463105398420. Its totient is φ = 85139752320.

The previous prime is 213131003291. The next prime is 213131003311. The reversal of 213131003300 is 3300131312.

It can be written as a sum of positive squares in 6 ways, for example, as 9520685476 + 203610317824 = 97574^2 + 451232^2 .

It is a super-2 number, since 2×213131003300² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1332035 + ... + 1483434.

It is an arithmetic number, because the mean of its divisors is an integer number (12864038845).

Almost surely, 2^213131003300 is an apocalyptic number.

213131003300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213131003300 is an abundant number, since it is smaller than the sum of its proper divisors (249974395120).

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

213131003300 is a wasteful number, since it uses less digits than its factorization.

213131003300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816240 (or 2816233 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 213131003300 its reverse (3300131312), we get a palindrome (216431134612).

The spelling of 213131003300 in words is "two hundred thirteen billion, one hundred thirty-one million, three thousand, three hundred".