213303112330300 has 144 divisors (see below), whose sum is σ = 484377605474112. Its totient is φ = 81443807078400.

The previous prime is 213303112330201. The next prime is 213303112330331. The reversal of 213303112330300 is 3033211303312.

It is a super-4 number, since 4×213303112330300⁴ (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4893261505 + ... + 4893305095.

It is an arithmetic number, because the mean of its divisors is an integer number (3363733371348).

Almost surely, 2^{213303112330300} is an apocalyptic number.

213303112330300 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 213303112330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242188802737056).

213303112330300 is an abundant number, since it is smaller than the sum of its proper divisors (271074493143812).

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

213303112330300 is a wasteful number, since it uses less digits than its factorization.

213303112330300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68648 (or 68641 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 213303112330300 its reverse (3033211303312), we get a palindrome (216336323633612).

The spelling of 213303112330300 in words is "two hundred thirteen trillion, three hundred three billion, one hundred twelve million, three hundred thirty thousand, three hundred".