213132312101 has 8 divisors (see below), whose sum is σ = 213430463640. Its totient is φ = 212834331648.

The previous prime is 213132312077. The next prime is 213132312119. The reversal of 213132312101 is 101213231312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 99410937025 + 113721375076 = 315295^2 + 337226^2 .

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 213132312101 - 2⁶ = 213132312037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213132312131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2560205 + ... + 2642141.

It is an arithmetic number, because the mean of its divisors is an integer number (26678807955).

Almost surely, 2^213132312101 is an apocalyptic number.

It is an amenable number.

213132312101 is a deficient number, since it is larger than the sum of its proper divisors (298151539).

213132312101 is an equidigital number, since it uses as much as digits as its factorization.

213132312101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85543.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 213132312101 its reverse (101213231312), we get a palindrome (314345543413).

The spelling of 213132312101 in words is "two hundred thirteen billion, one hundred thirty-two million, three hundred twelve thousand, one hundred one".