213001200003101 has 16 divisors (see below), whose sum is σ = 218828478919344. Its totient is φ = 207177637745664.

The previous prime is 213001200003089. The next prime is 213001200003127. The reversal of 213001200003101 is 101300002100312.

213001200003101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 69774694201 + 212931425308900 = 264149^2 + 14592170^2 .

It is a cyclic number.

It is not a de Polignac number, because 213001200003101 - 2¹⁰ = 213001200002077 is a prime.

It is a super-2 number, since 2×213001200003101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213001200003901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3235248155 + ... + 3235313991.

It is an arithmetic number, because the mean of its divisors is an integer number (13676779932459).

Almost surely, 2^{213001200003101} is an apocalyptic number.

It is an amenable number.

213001200003101 is a deficient number, since it is larger than the sum of its proper divisors (5827278916243).

213001200003101 is a wasteful number, since it uses less digits than its factorization.

213001200003101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92720.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 213001200003101 its reverse (101300002100312), we get a palindrome (314301202103413).

The spelling of 213001200003101 in words is "two hundred thirteen trillion, one billion, two hundred million, three thousand, one hundred one".