213313321200109 has 8 divisors (see below), whose sum is σ = 237643487809560. Its totient is φ = 190114790246976.

The previous prime is 213313321200037. The next prime is 213313321200131. The reversal of 213313321200109 is 901002123313312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2188875865225 + 211124445334884 = 1479485^2 + 14530122^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213313321200109 - 2⁷ = 213313321199981 is a prime.

It is a super-2 number, since 2×213313321200109² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213313321200409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282908913682 + ... + 282908914435.

It is an arithmetic number, because the mean of its divisors is an integer number (29705435976195).

Almost surely, 2^{213313321200109} is an apocalyptic number.

213313321200109 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

213313321200109 is a deficient number, since it is larger than the sum of its proper divisors (24330166609451).

213313321200109 is a wasteful number, since it uses less digits than its factorization.

213313321200109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565817828159.

The product of its (nonzero) digits is 5832, while the sum is 31.

The spelling of 213313321200109 in words is "two hundred thirteen trillion, three hundred thirteen billion, three hundred twenty-one million, two hundred thousand, one hundred nine".