213122032313 has 16 divisors (see below), whose sum is σ = 224927312400. Its totient is φ = 201624084480.

The previous prime is 213122032303. The next prime is 213122032399. The reversal of 213122032313 is 313230221312.

It can be written as a sum of positive squares in 8 ways, for example, as 39468974224 + 173653058089 = 198668^2 + 416717^2 .

It is a cyclic number.

It is not a de Polignac number, because 213122032313 - 2¹⁰ = 213122031289 is a prime.

It is a super-2 number, since 2×213122032313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213122032303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1078553 + ... + 1260761.

It is an arithmetic number, because the mean of its divisors is an integer number (14057957025).

Almost surely, 2^213122032313 is an apocalyptic number.

It is an amenable number.

213122032313 is a deficient number, since it is larger than the sum of its proper divisors (11805280087).

213122032313 is a wasteful number, since it uses less digits than its factorization.

213122032313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183052.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 213122032313 its reverse (313230221312), we get a palindrome (526352253625).

The spelling of 213122032313 in words is "two hundred thirteen billion, one hundred twenty-two million, thirty-two thousand, three hundred thirteen".