213122131201 has 48 divisors (see below), whose sum is σ = 269960865552. Its totient is φ = 167077478400.

The previous prime is 213122131141. The next prime is 213122131223. The reversal of 213122131201 is 102131221312.

It can be written as a sum of positive squares in 8 ways, for example, as 46462233601 + 166659897600 = 215551^2 + 408240^2 .

It is not a de Polignac number, because 213122131201 - 2¹¹ = 213122129153 is a prime.

It is a super-3 number, since 3×213122131201³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (213122131241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8765181 + ... + 8789461.

It is an arithmetic number, because the mean of its divisors is an integer number (5624184699).

Almost surely, 2^213122131201 is an apocalyptic number.

It is an amenable number.

213122131201 is a deficient number, since it is larger than the sum of its proper divisors (56838734351).

213122131201 is a wasteful number, since it uses less digits than its factorization.

213122131201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24610 (or 24603 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 213122131201 its reverse (102131221312), we get a palindrome (315253352513).

The spelling of 213122131201 in words is "two hundred thirteen billion, one hundred twenty-two million, one hundred thirty-one thousand, two hundred one".