213100031300 has 144 divisors (see below), whose sum is σ = 503725749072. Its totient is φ = 77780736000.

The previous prime is 213100031281. The next prime is 213100031321. The reversal of 213100031300 is 3130001312.

It can be written as a sum of positive squares in 24 ways, for example, as 110165575744 + 102934455556 = 331912^2 + 320834^2 .

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 47 ways as a sum of consecutive naturals, for example, 146661374 + ... + 146662826.

Almost surely, 2^213100031300 is an apocalyptic number.

213100031300 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 213100031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251862874536).

213100031300 is an abundant number, since it is smaller than the sum of its proper divisors (290625717772).

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

213100031300 is a wasteful number, since it uses less digits than its factorization.

213100031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 213100031300 its reverse (3130001312), we get a palindrome (216230032612).

The spelling of 213100031300 in words is "two hundred thirteen billion, one hundred million, thirty-one thousand, three hundred".