213103131300 has 108 divisors (see below), whose sum is σ = 669160710036. Its totient is φ = 56725344000.

The previous prime is 213103131247. The next prime is 213103131349. The reversal of 213103131300 is 3131301312.

It is a happy number.

213103131300 is a `hidden beast` number, since 21 + 31 + 0 + 313 + 1 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1037355264 + 212065776036 = 32208^2 + 460506^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 288750 + ... + 713850.

Almost surely, 2^213103131300 is an apocalyptic number.

213103131300 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 213103131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334580355018).

213103131300 is an abundant number, since it is smaller than the sum of its proper divisors (456057578736).

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

213103131300 is a wasteful number, since it uses less digits than its factorization.

213103131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425678 (or 425668 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 213103131300 its reverse (3131301312), we get a palindrome (216234432612).

The spelling of 213103131300 in words is "two hundred thirteen billion, one hundred three million, one hundred thirty-one thousand, three hundred".