213131121201 has 72 divisors (see below), whose sum is σ = 331309665960. Its totient is φ = 131921146368.

The previous prime is 213131121199. The next prime is 213131121239. The reversal of 213131121201 is 102121131312.

213131121201 is a `hidden beast` number, since 2 + 131 + 311 + 21 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 96238930176 + 116892191025 = 310224^2 + 341895^2 .

It is not a de Polignac number, because 213131121201 - 2¹ = 213131121199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213131125201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89662725 + ... + 89665101.

Almost surely, 2^213131121201 is an apocalyptic number.

It is an amenable number.

213131121201 is a deficient number, since it is larger than the sum of its proper divisors (118178544759).

213131121201 is a wasteful number, since it uses less digits than its factorization.

213131121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2949 counting only the distinct ones).

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

Adding to 213131121201 its reverse (102121131312), we get a palindrome (315252252513).

It can be divided in two parts, 2131311 and 21201, that added together give a palindrome (2152512).

The spelling of 213131121201 in words is "two hundred thirteen billion, one hundred thirty-one million, one hundred twenty-one thousand, two hundred one".