213101000001 has 6 divisors (see below), whose sum is σ = 307812555570. Its totient is φ = 142067333328.

The previous prime is 213100999999. The next prime is 213101000003. The reversal of 213101000001 is 100000101312.

It is an interprime number because it is at equal distance from previous prime (213100999999) and next prime (213101000003).

It can be written as a sum of positive squares in only one way, i.e., 209877599376 + 3223400625 = 458124^2 + 56775^2 .

It is not a de Polignac number, because 213101000001 - 2¹ = 213100999999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 23677888889 = 213101000001 / (2 + 1 + 3 + 1 + 0 + 1 + 0 + 0 + 0 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (213101000003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11838944436 + ... + 11838944453.

It is an arithmetic number, because the mean of its divisors is an integer number (51302092595).

Almost surely, 2^213101000001 is an apocalyptic number.

It is an amenable number.

213101000001 is a deficient number, since it is larger than the sum of its proper divisors (94711555569).

213101000001 is a wasteful number, since it uses less digits than its factorization.

213101000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23677888895 (or 23677888892 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 213101000001 its reverse (100000101312), we get a palindrome (313101101313).

The spelling of 213101000001 in words is "two hundred thirteen billion, one hundred one million, one", and thus it is an aban number.