213122101113 has 24 divisors (see below), whose sum is σ = 312248893320. Its totient is φ = 140060217600.

The previous prime is 213122101067. The next prime is 213122101117. The reversal of 213122101113 is 311101221312.

It can be written as a sum of positive squares in 4 ways, for example, as 69065416809 + 144056684304 = 262803^2 + 379548^2 .

It is not a de Polignac number, because 213122101113 - 2⁸ = 213122100857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213122101117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303756 + ... + 720077.

It is an arithmetic number, because the mean of its divisors is an integer number (13010370555).

Almost surely, 2^213122101113 is an apocalyptic number.

It is an amenable number.

213122101113 is a deficient number, since it is larger than the sum of its proper divisors (99126792207).

213122101113 is a wasteful number, since it uses less digits than its factorization.

213122101113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024169 (or 1024166 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 213122101113 its reverse (311101221312), we get a palindrome (524223322425).

The spelling of 213122101113 in words is "two hundred thirteen billion, one hundred twenty-two million, one hundred one thousand, one hundred thirteen".