213121323010000 has 100 divisors (see below), whose sum is σ = 516243903548692. Its totient is φ = 85206256128000.

The previous prime is 213121323009977. The next prime is 213121323010009. The reversal of 213121323010000 is 10323121312.

It can be written as a sum of positive squares in 10 ways, for example, as 187927468664896 + 25193854345104 = 13708664^2 + 5019348^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 213121323010000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213121323010009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14886874 + ... + 25453126.

Almost surely, 2^{213121323010000} is an apocalyptic number.

213121323010000 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 213121323010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258121951774346).

213121323010000 is an abundant number, since it is smaller than the sum of its proper divisors (303122580538692).

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

213121323010000 is a wasteful number, since it uses less digits than its factorization.

213121323010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10568298 (or 10568277 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 213121323010000 its reverse (10323121312), we get a palindrome (213131646131312).

The spelling of 213121323010000 in words is "two hundred thirteen trillion, one hundred twenty-one billion, three hundred twenty-three million, ten thousand".