213130331300 has 144 divisors (see below), whose sum is σ = 479139833088. Its totient is φ = 82243584000.

The previous prime is 213130331291. The next prime is 213130331303. The reversal of 213130331300 is 3133031312.

213130331300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (213130331303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121997027 + ... + 121998773.

It is an arithmetic number, because the mean of its divisors is an integer number (3327359952).

Almost surely, 2^213130331300 is an apocalyptic number.

213130331300 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 213130331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239569916544).

213130331300 is an abundant number, since it is smaller than the sum of its proper divisors (266009501788).

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

213130331300 is a wasteful number, since it uses less digits than its factorization.

213130331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 213130331300 its reverse (3133031312), we get a palindrome (216263362612).

The spelling of 213130331300 in words is "two hundred thirteen billion, one hundred thirty million, three hundred thirty-one thousand, three hundred".