213133401401300 has 36 divisors (see below), whose sum is σ = 471225886355196. Its totient is φ = 83644806585600.

The previous prime is 213133401401267. The next prime is 213133401401351. The reversal of 213133401401300 is 3104104331312.

It can be written as a sum of positive squares in 6 ways, for example, as 22404375022276 + 190729026379024 = 4733326^2 + 13810468^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 213133401401300.

It is a congruent number.

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, 20106919361 + ... + 20106929960.

It is an arithmetic number, because the mean of its divisors is an integer number (13089607954311).

Almost surely, 2^{213133401401300} is an apocalyptic number.

213133401401300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213133401401300 is an abundant number, since it is smaller than the sum of its proper divisors (258092484953896).

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

213133401401300 is a wasteful number, since it uses less digits than its factorization.

213133401401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40213849388 (or 40213849381 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 213133401401300 its reverse (3104104331312), we get a palindrome (216237505732612).

The spelling of 213133401401300 in words is "two hundred thirteen trillion, one hundred thirty-three billion, four hundred one million, four hundred one thousand, three hundred".