213122101133 has 8 divisors (see below), whose sum is σ = 213859226520. Its totient is φ = 212385983040.

The previous prime is 213122101117. The next prime is 213122101141. The reversal of 213122101133 is 331101221312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 27186073924 + 185936027209 = 164882^2 + 431203^2 .

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 213122101133 - 2⁴ = 213122101117 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 (213122001133) 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, 173303 + ... + 675483.

It is an arithmetic number, because the mean of its divisors is an integer number (26732403315).

Almost surely, 2^213122101133 is an apocalyptic number.

It is an amenable number.

213122101133 is a deficient number, since it is larger than the sum of its proper divisors (737125387).

213122101133 is a wasteful number, since it uses less digits than its factorization.

213122101133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503647.

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

Adding to 213122101133 its reverse (331101221312), we get a palindrome (544223322445).

The spelling of 213122101133 in words is "two hundred thirteen billion, one hundred twenty-two million, one hundred one thousand, one hundred thirty-three".